quadm (p42, negative)

Time bar (total: 14.4s)

analyze308.0ms (2.1%)

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

Compiled 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 40.0ms (38.5% of total)
ival-sub: 21.0ms (20.2% of total)
ival-neg: 19.0ms (18.3% of total)
ival-div: 11.0ms (10.6% of total)
ival-sqrt: 10.0ms (9.6% of total)
const: 2.0ms (1.9% of total)
backward-pass: 1.0ms (1% of total)

sample2.1s (14.8%)

Results
725.0ms1911×2valid
656.0ms5549×0valid
204.0ms796×1valid
101.0ms985×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 463.0ms (41.2% of total)
ival-sub: 152.0ms (13.5% of total)
ival-sqrt: 141.0ms (12.5% of total)
ival-div: 127.0ms (11.3% of total)
ival-neg: 118.0ms (10.5% of total)
backward-pass: 102.0ms (9.1% of total)
const: 20.0ms (1.8% of total)
Bogosity

preprocess222.0ms (1.5%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
060165
1219158
2665144
32348140
46982140
01416
13916
210115
327014
449414
5100314
6316014
7580614
8644214
9737214
10753714
11757714
12758314
0758314
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/.f64 (+.f64 b (sqrt.f64 (+.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) 1/2)
(/ (- (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)))
(* -1/2 (/ (- b (sqrt (fma a (* c -4) (square b)))) a))
(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))

explain228.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-2(-1.8179235037091888e-221 7.629911616484376e-157 -1.1058666334778692e-147)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
531(-3.211891627410065e-139 -5.793606543752243e-51 4.202054500580314e+35)0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
160-1(1.312034642797828e-51 -2.697516376906714e-22 6.902075828970418e-281)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
20-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-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
76.0ms124×2valid
74.0ms346×0valid
18.0ms42×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 36.0ms (49.1% of total)
backward-pass: 9.0ms (12.3% of total)
ival-sub: 8.0ms (10.9% of total)
ival-sqrt: 7.0ms (9.5% of total)
ival-div: 6.0ms (8.2% of total)
ival-neg: 5.0ms (6.8% of total)
const: 1.0ms (1.4% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.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)

simplify5.0ms (0%)

Algorithm
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
iter limit
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)

localize126.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy94.5%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
accuracy81.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy60.6%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
55.0ms62×2valid
27.0ms173×0valid
9.0ms21×1valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 38.0ms (70.8% of total)
ival-sqrt: 4.0ms (7.5% of total)
backward-pass: 4.0ms (7.5% of total)
ival-add: 4.0ms (7.5% of total)
ival-div: 3.0ms (5.6% of total)
const: 1.0ms (1.9% of total)

series19.0ms (0.1%)

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

rewrite313.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
4016×*-lowering-*.f32
4016×*-lowering-*.f64
2468×/-lowering-/.f32
2468×/-lowering-/.f64
2020×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
16039
250439
3639739
0803739
Stop Event
iter limit
node limit
Counts
4 → 322
Calls
Call 1
Inputs
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 9/2 binary64))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (-.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 b (*.f64 (*.f64 b b) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))

simplify741.0ms (5.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
05062937
117082730
263342677
080522677
Stop Event
iter limit
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)))
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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))
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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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(+ (* -4 (* a c)) (pow b 2))
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(+ (* -4 (* a c)) (pow b 2))
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(+ (* -4 (* a c)) (pow b 2))
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(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(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 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))

eval55.0ms (0.4%)

Compiler

Compiled 17927 to 1701 computations (90.5% saved)

prune116.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New44719466
Fresh000
Picked101
Done000
Total44819467
Accuracy
94.2%
Counts
467 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))
31.7%
(/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
27.8%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
51.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
32.3%
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
28.5%
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
30.5%
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
13.9%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
13.5%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
34.2%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
31.6%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
32.3%
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
51.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
33.2%
(-.f64 (/.f64 c b) (/.f64 b a))
32.2%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
35.2%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
33.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
25.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))) #s(literal -1 binary64)))
Compiler

Compiled 810 to 464 computations (42.7% saved)

simplify198.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
cost-diff0
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
cost-diff0
(/.f64 #s(literal 1 binary64) b)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))
cost-diff128
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b)))
cost-diff128
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
cost-diff0
(*.f64 c a)
cost-diff0
(/.f64 (*.f64 c a) b)
cost-diff0
(-.f64 (/.f64 (*.f64 c a) b) b)
cost-diff128
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
cost-diff0
(/.f64 b a)
cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 b a))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
cost-diff0
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
Rules
2920×*-lowering-*.f32
2920×*-lowering-*.f64
1792×fma-lowering-fma.f32
1792×fma-lowering-fma.f64
1742×fmm-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031253
170241
2178234
3425233
4932233
52911232
67801232
08405232
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
-1/2
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
a
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
(* a (* c -4))
(* c -4)
c
-4
(- 0 (/ b a))
0
(/ b a)
b
a
(/ (- (/ (* c a) b) b) a)
(- (/ (* c a) b) b)
(/ (* c a) b)
(* c a)
c
a
b
(- (* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))) (/ b a))
(* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b)))
c
(+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))
(/ 1 b)
1
b
(/ (/ (/ (* c a) b) b) b)
(/ (/ (* c a) b) b)
(/ (* c a) b)
(* c a)
a
(/ b a)
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/ 1 a)
1
a
(/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
-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))
(* 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 #s(literal -4 binary64) (*.f64 a c)))))))
-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 #s(literal -4 binary64) (*.f64 a c))))))
a
(+ 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))
(* 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
(/ (- (/ (* c a) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ (* c a) b) b)
(-.f64 (/.f64 (*.f64 a c) b) b)
(/ (* c a) b)
(/.f64 (*.f64 a c) b)
(* c a)
(*.f64 a c)
c
a
b
(- (* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))) (/ b a))
(-.f64 (*.f64 (/.f64 c b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 b a))
(* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b)))
(*.f64 (/.f64 c b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)))
c
(+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(/ (/ (/ (* c a) b) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)
(/ (/ (* c a) b) b)
(/.f64 (/.f64 (*.f64 a c) b) b)
(/ (* c a) b)
(/.f64 (*.f64 a c) b)
(* c a)
(*.f64 a c)
a
(/ b a)
(/.f64 b a)
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
-2
#s(literal -2 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))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)

localize316.0ms (2.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy94.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
accuracy81.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy60.6%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
accuracy99.5%
(/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b)
accuracy98.3%
(/.f64 (/.f64 (*.f64 c a) b) b)
accuracy96.9%
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b)))
accuracy93.3%
(/.f64 (*.f64 c a) b)
accuracy100.0%
(-.f64 (/.f64 (*.f64 c a) b) b)
accuracy100.0%
(*.f64 c a)
accuracy95.9%
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
accuracy93.3%
(/.f64 (*.f64 c a) b)
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
accuracy99.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy94.6%
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
accuracy81.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy60.6%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
93.0ms58×2valid
89.0ms173×0valid
20.0ms21×1valid
8.0ms3valid
Compiler

Compiled 283 to 32 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 29.0ms (38.7% of total)
ival-mult: 14.0ms (18.7% of total)
backward-pass: 13.0ms (17.4% of total)
ival-add: 8.0ms (10.7% of total)
ival-sub: 5.0ms (6.7% of total)
ival-sqrt: 5.0ms (6.7% of total)
const: 1.0ms (1.3% of total)

series61.0ms (0.4%)

Counts
20 → 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 (- 0 (/ b a))>
#<alt (/ b a)>
#<alt (/ (- (/ (* c a) b) b) a)>
#<alt (- (/ (* c a) b) b)>
#<alt (/ (* c a) b)>
#<alt (* c a)>
#<alt (- (* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))) (/ b a))>
#<alt (* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b)))>
#<alt (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))>
#<alt (/ 1 b)>
#<alt (/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4)))))))>
#<alt (/ 1 a)>
#<alt (/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4))))))>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (/ (/ (* c a) b) b)>
#<alt (/ (/ (/ (* c a) b) 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))>
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#<alt (* -1 (/ b a))>
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#<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))))))))>
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#<alt (* 2 b)>
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#<alt (* 2 b)>
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#<alt b>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c))) 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 (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (* a c) (pow b 3))>
Calls

159 calls:

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

rewrite387.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
3242×/-lowering-/.f32
3242×/-lowering-/.f64
2194×*-lowering-*.f32
2194×*-lowering-*.f64
2034×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031173
1207160
22205157
08376157
Stop Event
iter limit
node limit
Counts
20 → 804
Calls
Call 1
Inputs
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(sqrt (+ (* b b) (* a (* c -4))))
(- 0 (/ b a))
(/ b a)
(/ (- (/ (* c a) b) b) a)
(- (/ (* c a) b) b)
(/ (* c a) b)
(* c a)
(- (* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))) (/ b a))
(* c (+ (/ 1 b) (/ (/ (/ (* c a) b) b) b)))
(+ (/ 1 b) (/ (/ (/ (* c a) b) b) b))
(/ 1 b)
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/ 1 a)
(/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(+ (* b b) (* a (* c -4)))
(/ (/ (* c a) b) b)
(/ (/ (/ (* c a) b) b) b)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) b) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) b))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 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 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(fma.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) b (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.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 binary64) a) (/.f64 #s(literal -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 #s(literal 0 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 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 -1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.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 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 a (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (neg.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 0 binary64) a))
(/.f64 (neg.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 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
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(/.f64 (*.f64 c (/.f64 a b)) b)
(/.f64 (*.f64 c (/.f64 a b)) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c (/.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c (/.f64 a b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 b (*.f64 a c)) (-.f64 #s(literal 0 binary64) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 c (/.f64 a b))))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c (/.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 c (/.f64 a b))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (neg.f64 (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (neg.f64 (/.f64 b (*.f64 a c))))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal -1 binary64)) (*.f64 b b))
(/.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal 1 binary64)) b)
(/.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal -1 binary64))) (neg.f64 (*.f64 b b)))
(pow.f64 (/.f64 b (*.f64 c (/.f64 a b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 c (/.f64 a b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(*.f64 c (/.f64 (/.f64 a b) b))
(*.f64 c (*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (/.f64 a (*.f64 b b)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 c (/.f64 a b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a b)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 a b) (/.f64 c b))
(*.f64 (/.f64 c b) (/.f64 a b))
(*.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (-.f64 #s(literal 0 binary64) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b b))) (/.f64 (*.f64 c (/.f64 a b)) (neg.f64 (*.f64 b b))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) b))) (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a c) (neg.f64 (*.f64 b (*.f64 b b)))))
(neg.f64 (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))
(/.f64 (*.f64 c (/.f64 a b)) (*.f64 b b))
(/.f64 (*.f64 c (/.f64 a b)) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 c (/.f64 a b)) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c (/.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (/.f64 b (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 b (*.f64 c (/.f64 a b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c (/.f64 a b))))
(/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b)
(/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (*.f64 c (/.f64 a b))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 a c)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (neg.f64 (*.f64 b (*.f64 b b))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) (neg.f64 (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (neg.f64 (/.f64 b (*.f64 c (/.f64 a b)))))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) (neg.f64 (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (*.f64 c (/.f64 a b)) b) #s(literal 1 binary64)) b)
(/.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal -1 binary64)) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) #s(literal -1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (/.f64 (*.f64 c (/.f64 a b)) b) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64))) (neg.f64 (*.f64 b (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal 1 binary64))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 c (/.f64 a b)) b) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 c (/.f64 a b)) #s(literal -1 binary64))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) #s(literal -1 binary64))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 c (/.f64 a b)) b) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a b)) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 a c))) #s(literal -1 binary64))
(*.f64 c (/.f64 (/.f64 a b) (*.f64 b b)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 c (/.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c b) (/.f64 (/.f64 a b) b))
(*.f64 (*.f64 (/.f64 (*.f64 c (/.f64 a b)) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))

simplify451.0ms (3.1%)

Algorithm
egg-herbie
Rules
6774×*-lowering-*.f32
6774×*-lowering-*.f64
4274×+-lowering-+.f64
4274×+-lowering-+.f32
1494×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011108875
140028204
089708204
Stop Event
iter limit
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))))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -4))
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(* 2 b)
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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b
(+ b (* -2 (/ (* a c) b)))
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(* (sqrt (* a c)) (sqrt -4))
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(* -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)))))))
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b
(+ b (* -2 (/ (* a c) b)))
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(* (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)))
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -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))
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(* -1 (/ b a))
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(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
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(* c (+ (* -1 (/ b c)) (/ a b)))
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(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
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(/ (* a c) b)
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
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(/ (* a c) b)
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(/ (* a c) b)
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(* a c)
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(- (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (/ b a))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
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(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(* -1 (/ b a))
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(/ (* a (pow c 2)) (pow b 3))
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(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
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(/ (+ (* a c) (pow b 2)) (pow b 3))
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(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
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(/ 1 b)
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(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(* -1 (/ b 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 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* -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)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(/ -1 b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b)
(/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b)
(* -1 (/ b (* a c)))
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))))))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* a (- (* -2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b))
(- (* a (- (* a (- (* -1 (* a (+ (* 4 (/ (pow c 3) (pow b 7))) (/ (pow c 3) (pow b 7))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b))
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a))) a))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))
(- (* c (- (* c (- (* -1 (* c (+ (* 4 (/ (pow a 3) (pow b 7))) (/ (pow a 3) (pow b 7))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c))) 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))))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a)))
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(* -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)))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 a c) (*.f64 b b))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))

eval261.0ms (1.8%)

Compiler

Compiled 43821 to 4157 computations (90.5% saved)

prune240.0ms (1.7%)

Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New1762291791
Fresh41014
Picked415
Done000
Total1770401810
Accuracy
94.2%
Counts
1810 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.0%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
18.1%
(/.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))
31.7%
(/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
21.7%
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
13.2%
(/.f64 (/.f64 (*.f64 a c) b) a)
27.8%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
27.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
32.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
27.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
28.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
33.1%
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
30.5%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
33.1%
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
20.7%
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
33.2%
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
18.2%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
13.9%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
34.2%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
31.6%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
31.8%
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
13.2%
(/.f64 c b)
33.0%
(/.f64 b (neg.f64 a))
33.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
13.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
51.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
34.2%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
34.8%
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
31.6%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
35.0%
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
32.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
33.2%
(-.f64 (/.f64 c b) (/.f64 b a))
32.6%
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
32.1%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
35.2%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
13.5%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
32.9%
(*.f64 b (/.f64 #s(literal -1 binary64) a))
25.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))) #s(literal -1 binary64)))
Compiler

Compiled 1467 to 871 computations (40.6% saved)

simplify186.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff256
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
cost-diff256
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))
cost-diff512
(+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))))
cost-diff640
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
cost-diff0
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
cost-diff512
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 a (/.f64 c b))
cost-diff0
(-.f64 (*.f64 a (/.f64 c b)) b)
cost-diff128
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
cost-diff0
(/.f64 c b)
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
Rules
3304×*-lowering-*.f32
3304×*-lowering-*.f64
1906×fnmadd-define
1616×sum3-define
1550×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037236
1101224
2276215
31226198
46681197
08772197
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
(* a (* c -4))
(* c -4)
c
-4
(/ c b)
c
b
(/ (- (* a (/ c b)) b) a)
(- (* a (/ c b)) b)
(* a (/ c b))
a
(/ c b)
c
b
(/ (/ 1 a) (/ -2 (/ (* (* a c) 2) b)))
(/ 1 a)
1
a
(/ -2 (/ (* (* a c) 2) b))
-2
(/ (* (* a c) 2) b)
(* (* a c) 2)
(* a c)
c
2
b
(/ (+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))) (* a -2))
(+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b)))))
b
(- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))
0
(* b (+ 1 (/ (/ (* a (* c -2)) b) b)))
(+ 1 (/ (/ (* a (* c -2)) b) b))
1
(/ (/ (* a (* c -2)) b) b)
(/ (* a (* c -2)) b)
(* a (* c -2))
a
(* c -2)
c
-2
(* a -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 c (*.f64 a #s(literal -4 binary64))))))) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* a (* c -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(/ c b)
(/.f64 c b)
c
b
(/ (- (* a (/ c b)) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(- (* a (/ c b)) b)
(-.f64 (*.f64 a (/.f64 c b)) b)
(* a (/ c b))
(*.f64 a (/.f64 c b))
a
(/ c b)
(/.f64 c b)
c
b
(/ (/ 1 a) (/ -2 (/ (* (* a c) 2) b)))
(/.f64 (/.f64 c #s(literal -1 binary64)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ -2 (/ (* (* a c) 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a c)))
-2
#s(literal -2 binary64)
(/ (* (* a c) 2) b)
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)
(* (* a c) 2)
(*.f64 (*.f64 a c) #s(literal 2 binary64))
(* a c)
(*.f64 a c)
c
2
#s(literal 2 binary64)
b
(/ (+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))) (* a -2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a b)))
(+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
b
(- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))
(-.f64 #s(literal 0 binary64) (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)))
0
#s(literal 0 binary64)
(* b (+ 1 (/ (/ (* a (* c -2)) b) b)))
(+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(+ 1 (/ (/ (* a (* c -2)) b) b))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))
1
#s(literal 1 binary64)
(/ (/ (* a (* c -2)) b) b)
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b 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)
(* a -2)
(*.f64 a #s(literal -2 binary64))

localize635.0ms (4.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy94.1%
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
accuracy93.3%
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
accuracy88.3%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
accuracy58.5%
(+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))))
accuracy100.0%
(*.f64 (*.f64 a c) #s(literal 2 binary64))
accuracy99.1%
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
accuracy93.3%
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)
accuracy88.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
accuracy100.0%
(/.f64 c b)
accuracy100.0%
(-.f64 (*.f64 a (/.f64 c b)) b)
accuracy95.9%
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
accuracy90.4%
(*.f64 a (/.f64 c b))
accuracy100.0%
(/.f64 c b)
accuracy99.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy94.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
accuracy81.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy60.6%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
367.0ms85×1valid
126.0ms76×2valid
65.0ms95×0valid
Compiler

Compiled 258 to 38 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-div: 43.0ms (33.3% of total)
ival-mult: 36.0ms (27.8% of total)
backward-pass: 23.0ms (17.8% of total)
ival-sub: 11.0ms (8.5% of total)
ival-add: 10.0ms (7.7% of total)
ival-sqrt: 4.0ms (3.1% of total)
const: 2.0ms (1.5% of total)

series32.0ms (0.2%)

Counts
19 → 612
Calls
Call 1
Inputs
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (+ (* b b) (* a (* c -4)))))>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (/ c b)>
#<alt (/ (- (* a (/ c b)) b) a)>
#<alt (- (* a (/ c b)) b)>
#<alt (* a (/ c b))>
#<alt (/ (/ 1 a) (/ -2 (/ (* (* a c) 2) b)))>
#<alt (/ -2 (/ (* (* a c) 2) b))>
#<alt (/ 1 a)>
#<alt (/ (* (* a c) 2) b)>
#<alt (/ (+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))) (* a -2))>
#<alt (+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b)))))>
#<alt (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))>
#<alt (* b (+ 1 (/ (/ (* a (* c -2)) b) b)))>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (* (* a c) 2)>
#<alt (/ (* a (* c -2)) 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)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* 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 (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 b)>
#<alt (- (/ (* a c) b) b)>
#<alt (- (/ (* a c) b) b)>
#<alt (- (/ (* a c) b) b)>
#<alt (/ (* a c) b)>
#<alt (* a (+ (* -1 (/ b a)) (/ c b)))>
#<alt (* a (+ (* -1 (/ b a)) (/ c b)))>
#<alt (* a (+ (* -1 (/ b a)) (/ c b)))>
#<alt (/ (* a c) b)>
#<alt (* -1 (* a (+ (* -1 (/ c b)) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ c b)) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ c b)) (/ b a))))>
#<alt (* -1 b)>
#<alt (- (/ (* a c) b) b)>
#<alt (- (/ (* a c) b) b)>
#<alt (- (/ (* a c) b) b)>
#<alt (/ (* a c) b)>
#<alt (* c (+ (* -1 (/ b c)) (/ a b)))>
#<alt (* c (+ (* -1 (/ b c)) (/ a b)))>
#<alt (* c (+ (* -1 (/ b c)) (/ a b)))>
#<alt (/ (* a c) b)>
#<alt (* -1 (* c (+ (* -1 (/ a b)) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ a b)) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ a b)) (/ b c))))>
#<alt (/ (* a c) b)>
#<alt (/ (+ (* -1 (pow b 2)) (* a c)) b)>
#<alt (/ (+ (* -1 (pow b 2)) (* a c)) b)>
#<alt (/ (+ (* -1 (pow b 2)) (* a c)) b)>
#<alt (* -1 b)>
#<alt (* b (- (/ (* a c) (pow b 2)) 1))>
#<alt (* b (- (/ (* a c) (pow b 2)) 1))>
#<alt (* b (- (/ (* a c) (pow b 2)) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))>
#<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 (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (/ b (* a c)))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* -1 (pow b 2)) (* -2 (* a c))) b)>
#<alt (/ (- (* -1 (pow b 2)) (* -2 (* a c))) b)>
#<alt (/ (- (* -1 (pow b 2)) (* -2 (* a c))) b)>
#<alt (* -1 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 1))>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 1))>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 b)>
#<alt (- (* 2 (/ (* a c) b)) b)>
#<alt (- (* 2 (/ (* a c) b)) b)>
#<alt (- (* 2 (/ (* a c) b)) b)>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (- (* -1 (/ b a)) (* -2 (/ c b))))>
#<alt (* a (- (* -1 (/ b a)) (* -2 (/ c b))))>
#<alt (* a (- (* -1 (/ b a)) (* -2 (/ c b))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (* a (- (/ b a) (* 2 (/ c b)))))>
#<alt (* -1 (* a (- (/ b a) (* 2 (/ c b)))))>
#<alt (* -1 (* a (- (/ b a) (* 2 (/ c b)))))>
#<alt (* -1 b)>
#<alt (- (* 2 (/ (* a c) b)) b)>
#<alt (- (* 2 (/ (* a c) b)) b)>
#<alt (- (* 2 (/ (* a c) b)) b)>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* -1 (/ b c)) (* -2 (/ a b))))>
#<alt (* c (- (* -1 (/ b c)) (* -2 (/ a b))))>
#<alt (* c (- (* -1 (/ b c)) (* -2 (/ a b))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (* c (- (/ b c) (* 2 (/ a b)))))>
#<alt (* -1 (* c (- (/ b c) (* 2 (/ a b)))))>
#<alt (* -1 (* c (- (/ b c) (* 2 (/ a b)))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt b>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
Calls

153 calls:

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

rewrite363.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
4684×*-lowering-*.f32
4684×*-lowering-*.f64
2840×/-lowering-/.f32
2840×/-lowering-/.f64
2364×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037170
1232158
22194150
09721150
Stop Event
iter limit
node limit
Counts
19 → 758
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/ -1/2 a)
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(sqrt (+ (* b b) (* a (* c -4))))
(/ c b)
(/ (- (* a (/ c b)) b) a)
(- (* a (/ c b)) b)
(* a (/ c b))
(/ (/ 1 a) (/ -2 (/ (* (* a c) 2) b)))
(/ -2 (/ (* (* a c) 2) b))
(/ 1 a)
(/ (* (* a c) 2) b)
(/ (+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))) (* a -2))
(+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b)))))
(- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))
(* b (+ 1 (/ (/ (* a (* c -2)) b) b)))
(+ (* b b) (* a (* c -4)))
(* (* a c) 2)
(/ (* a (* c -2)) b)
Outputs
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a c))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a)
(*.f64 (neg.f64 (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))

simplify329.0ms (2.3%)

Algorithm
egg-herbie
Rules
5650×*-lowering-*.f32
5650×*-lowering-*.f64
2536×+-lowering-+.f64
2536×+-lowering-+.f32
1560×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05715911
119425584
271875552
080185552
Stop Event
iter limit
node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(/ (+ (* -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 (/ 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))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* a (+ (* -1 (/ b a)) (/ c b)))
(* a (+ (* -1 (/ b a)) (/ c b)))
(* a (+ (* -1 (/ b a)) (/ c b)))
(/ (* a c) b)
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* c (+ (* -1 (/ b c)) (/ a b)))
(* c (+ (* -1 (/ b c)) (/ a b)))
(* c (+ (* -1 (/ b c)) (/ a b)))
(/ (* a c) b)
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(/ (* a c) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(* -1 b)
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (/ (* a c) (pow b 2)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a c)))
(* -1 (/ b (* a 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)
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(/ (- (* -1 (pow b 2)) (* -2 (* a c))) b)
(/ (- (* -1 (pow b 2)) (* -2 (* a c))) b)
(/ (- (* -1 (pow b 2)) (* -2 (* a c))) b)
(* -1 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 b)
(- (* 2 (/ (* a c) b)) b)
(- (* 2 (/ (* a c) b)) b)
(- (* 2 (/ (* a c) b)) b)
(* 2 (/ (* a c) b))
(* a (- (* -1 (/ b a)) (* -2 (/ c b))))
(* a (- (* -1 (/ b a)) (* -2 (/ c b))))
(* a (- (* -1 (/ b a)) (* -2 (/ c b))))
(* 2 (/ (* a c) b))
(* -1 (* a (- (/ b a) (* 2 (/ c b)))))
(* -1 (* a (- (/ b a) (* 2 (/ c b)))))
(* -1 (* a (- (/ b a) (* 2 (/ c b)))))
(* -1 b)
(- (* 2 (/ (* a c) b)) b)
(- (* 2 (/ (* a c) b)) b)
(- (* 2 (/ (* a c) b)) b)
(* 2 (/ (* a c) b))
(* c (- (* -1 (/ b c)) (* -2 (/ a b))))
(* c (- (* -1 (/ b c)) (* -2 (/ a b))))
(* c (- (* -1 (/ b c)) (* -2 (/ a b))))
(* 2 (/ (* a c) b))
(* -1 (* c (- (/ b c) (* 2 (/ a b)))))
(* -1 (* c (- (/ b c) (* 2 (/ a b)))))
(* -1 (* c (- (/ b c) (* 2 (/ a b)))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -2 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -2 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -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 c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
Outputs
(* -1 (/ b a))
(/.f64 (-.f64 #s(literal 0 binary64) 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 c (/.f64 c (*.f64 b (*.f64 b b)))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (*.f64 #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 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #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 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(/.f64 (-.f64 #s(literal 0 binary64) b) a)
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64)))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 c (*.f64 a (*.f64 c (/.f64 c (*.f64 b b))))) 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 a (*.f64 c (/.f64 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 a (*.f64 c (/.f64 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 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(/.f64 (-.f64 #s(literal 0 binary64) b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)) (neg.f64 c))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
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(*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))
(* c (- (* -1 (/ b c)) (* -2 (/ a b))))
(*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))
(* 2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)
(* -1 (* c (- (/ b c) (* 2 (/ a b)))))
(*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))
(* -1 (* c (- (/ b c) (* 2 (/ a b)))))
(*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))
(* -1 (* c (- (/ b c) (* 2 (/ a b)))))
(*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)) b)))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)) b)))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)) b)))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)))))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* a (+ (* -2 (/ c b)) (/ b a)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(*.f64 (-.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) b) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(*.f64 (-.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) b) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(*.f64 (-.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) b) (/.f64 b a)) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* c (+ (* -2 (/ a b)) (/ b c)))
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (/.f64 b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (/.f64 b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (/.f64 b c)))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(*.f64 (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(*.f64 (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(*.f64 (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)) (neg.f64 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 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* -2 (/ (* a c) b))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))

eval219.0ms (1.5%)

Compiler

Compiled 33034 to 3324 computations (89.9% saved)

prune205.0ms (1.4%)

Pruning

55 alts after pruning (52 fresh and 3 done)

PrunedKeptTotal
New1390211411
Fresh33134
Picked325
Done011
Total1396551451
Accuracy
94.2%
Counts
1451 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))
21.7%
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
20.9%
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
1.5%
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
13.2%
(/.f64 (/.f64 (*.f64 a c) b) a)
27.8%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
27.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
32.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
28.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
15.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64)))) #s(literal -1 binary64)))))
28.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
27.5%
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
33.1%
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
33.2%
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
30.5%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
33.1%
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
20.7%
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
18.2%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
35.7%
(/.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 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
31.2%
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
13.2%
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
11.6%
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
12.5%
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
1.3%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
1.7%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
12.7%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
13.6%
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
3.6%
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
34.2%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
31.6%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
31.8%
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
13.2%
(/.f64 c b)
33.0%
(/.f64 b (neg.f64 a))
13.2%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
33.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
27.7%
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
13.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
51.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
34.2%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
34.8%
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
31.6%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
35.0%
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
32.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
33.2%
(-.f64 (/.f64 c b) (/.f64 b a))
32.6%
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
32.1%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
35.2%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
13.5%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
34.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
31.2%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
25.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
32.9%
(*.f64 b (/.f64 #s(literal -1 binary64) a))
Compiler

Compiled 2454 to 1390 computations (43.4% saved)

simplify192.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff256
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))))
cost-diff256
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))
cost-diff256
(+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))))
cost-diff256
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
cost-diff0
(*.f64 c (/.f64 a b))
cost-diff0
(*.f64 (*.f64 c (/.f64 a b)) a)
cost-diff128
(-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b))
cost-diff512
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 a c))
cost-diff0
(*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))
cost-diff256
(*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c))))
cost-diff384
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
cost-diff-64
(neg.f64 a)
cost-diff-64
(/.f64 b (neg.f64 a))
cost-diff0
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) a)
cost-diff256
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64))))
cost-diff512
(/.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 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
Rules
3962×*-lowering-*.f32
3962×*-lowering-*.f64
2144×/-lowering-/.f32
2144×/-lowering-/.f64
1156×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049385
1143362
2443338
32271327
46738327
08343327
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2))) (* a a))
(+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2)))
(* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a)
(* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2)
(sqrt (+ (* b b) (* -4 (* a c))))
(+ (* b b) (* -4 (* a c)))
(* b b)
b
(* -4 (* a c))
-4
(* a c)
a
c
-1/2
(* a (* b -1/2))
(* b -1/2)
(* a a)
(/ b (neg a))
b
(neg a)
a
(/ 1 (* a (* b (/ -1 (* a c)))))
1
(* a (* b (/ -1 (* a c))))
a
(* b (/ -1 (* a c)))
b
(/ -1 (* a c))
-1
(* a c)
c
(/ (- (* (* c (/ a b)) a) (* a b)) (* a a))
(- (* (* c (/ a b)) a) (* a b))
(* (* c (/ a b)) a)
(* c (/ a b))
c
(/ a b)
a
b
(* a b)
(* a a)
(/ (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))) (* a -2))
(+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b)))))
b
(/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))
(* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b))))
(- 0 b)
0
(- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))
1
(* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b))
(/ (* 2 (* a (/ c b))) b)
(* 2 (* a (/ c b)))
2
(* a (/ c b))
a
(/ c b)
c
(- 1 (/ (* -2 (* a c)) (* b b)))
(/ (* -2 (* a c)) (* b b))
(* -2 (* a c))
-2
(* a c)
(* b b)
(* a -2)
Outputs
(/ (+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2))) (* a a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a)
(+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a)
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -1/2 binary64)))
(* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2)
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64))
(sqrt (+ (* b b) (* -4 (* a c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* -4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
b
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
-4
#s(literal -4 binary64)
(* a c)
(*.f64 a c)
a
c
-1/2
#s(literal -1/2 binary64)
(* a (* b -1/2))
(*.f64 #s(literal -1/2 binary64) (*.f64 b a))
(* b -1/2)
(*.f64 b #s(literal -1/2 binary64))
(* a a)
(*.f64 a a)
(/ b (neg a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
b
(neg a)
(-.f64 #s(literal 0 binary64) a)
a
(/ 1 (* a (* b (/ -1 (* a c)))))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
1
#s(literal 1 binary64)
(* a (* b (/ -1 (* a c))))
(-.f64 #s(literal 0 binary64) (/.f64 b c))
a
(* b (/ -1 (* a c)))
(/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))
b
(/ -1 (* a c))
(/.f64 (/.f64 #s(literal -1 binary64) a) c)
-1
#s(literal -1 binary64)
(* a c)
(*.f64 a c)
c
(/ (- (* (* c (/ a b)) a) (* a b)) (* a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (* (* c (/ a b)) a) (* a b))
(*.f64 a (-.f64 (/.f64 (*.f64 a c) b) b))
(* (* c (/ a b)) a)
(/.f64 (*.f64 a (*.f64 a c)) b)
(* c (/ a b))
(/.f64 (*.f64 a c) b)
c
(/ a b)
(/.f64 a b)
a
b
(* a b)
(*.f64 b a)
(* a a)
(*.f64 a a)
(/ (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))) (* a -2))
(/.f64 (-.f64 b (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -4 binary64)) b) (*.f64 a c)) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b) b)))) (*.f64 a #s(literal -2 binary64)))
(+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b)))))
(-.f64 b (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -4 binary64)) b) (*.f64 a c)) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b) b))))
b
(/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 4 binary64))) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b) b))))
(* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b))))
(*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 4 binary64))) (*.f64 b b))))
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -4 binary64)) b) (*.f64 a c)) (*.f64 b b)))
1
#s(literal 1 binary64)
(* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b))
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 4 binary64))) (*.f64 b b))
(/ (* 2 (* a (/ c b))) b)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b) b)
(* 2 (* a (/ c b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)
2
#s(literal 2 binary64)
(* a (/ c b))
(/.f64 (*.f64 a c) b)
a
(/ c b)
(/.f64 c b)
c
(- 1 (/ (* -2 (* a c)) (* b b)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b) b))
(/ (* -2 (* a c)) (* b b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (* a c))
(*.f64 a (*.f64 c #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* a c)
(*.f64 a c)
(* b b)
(*.f64 b b)
(* a -2)
(*.f64 a #s(literal -2 binary64))

localize582.0ms (4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy88.3%
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
accuracy83.2%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))
accuracy78.2%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))
accuracy58.5%
(+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))))
accuracy99.6%
(-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b))
accuracy95.8%
(*.f64 (*.f64 c (/.f64 a b)) a)
accuracy92.7%
(*.f64 c (/.f64 a b))
accuracy61.6%
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
accuracy99.4%
(/.f64 #s(literal -1 binary64) (*.f64 a c))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
accuracy93.3%
(*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))
accuracy88.9%
(*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c))))
accuracy100.0%
(/.f64 b (neg.f64 a))
accuracy100.0%
(neg.f64 a)
accuracy99.4%
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
accuracy84.1%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64))))
accuracy60.6%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
accuracy57.0%
(/.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 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
Results
186.0ms66×2valid
112.0ms28×3valid
103.0ms67×1valid
81.0ms95×0valid
Compiler

Compiled 470 to 50 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-mult: 88.0ms (42% of total)
ival-div: 48.0ms (22.9% of total)
backward-pass: 43.0ms (20.5% of total)
ival-sub: 12.0ms (5.7% of total)
ival-add: 8.0ms (3.8% of total)
ival-sqrt: 5.0ms (2.4% of total)
ival-neg: 4.0ms (1.9% of total)
const: 2.0ms (1% of total)

series106.0ms (0.7%)

Counts
21 → 708
Calls
Call 1
Inputs
#<alt (/ (+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2))) (* a a))>
#<alt (+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2)))>
#<alt (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a)>
#<alt (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2)>
#<alt (/ b (neg a))>
#<alt (neg a)>
#<alt (/ 1 (* a (* b (/ -1 (* a c)))))>
#<alt (* a (* b (/ -1 (* a c))))>
#<alt (* b (/ -1 (* a c)))>
#<alt (/ -1 (* a c))>
#<alt (/ (- (* (* c (/ a b)) a) (* a b)) (* a a))>
#<alt (- (* (* c (/ a b)) a) (* a b))>
#<alt (* (* c (/ a b)) a)>
#<alt (* c (/ a b))>
#<alt (/ (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))) (* a -2))>
#<alt (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b)))))>
#<alt (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))>
#<alt (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b))))>
#<alt (sqrt (+ (* b b) (* -4 (* a c))))>
#<alt (+ (* b b) (* -4 (* a c)))>
#<alt (/ (* -2 (* a c)) (* b b))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ (* b (+ (* -1/2 a) (* 1/2 a))) (pow a 2)))>
#<alt (* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (/ c (pow b 2))))))>
#<alt (* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (+ (* -1/2 (* a b)) (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))>
#<alt (+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))))))>
#<alt (+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))>
#<alt (* -1 (* a b))>
#<alt (* b (+ (* -1 a) (/ (* (pow a 2) c) (pow b 2))))>
#<alt (* b (+ (* -1 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))>
#<alt (* b (+ (* -1 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))>
#<alt (* -1 (* b (+ (* -1/2 a) (* 1/2 a))))>
#<alt (* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (/ (* (pow a 2) c) (pow b 2))))))>
#<alt (* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))))>
#<alt (* -1 (* a b))>
#<alt (* a (+ (* -1 b) (/ (* a c) b)))>
#<alt (* a (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (* a (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))>
#<alt (* (pow a 2) (+ (* -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 (* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* a b))>
#<alt (+ (* -1 (* a b)) (/ (* (pow a 2) c) b))>
#<alt (+ (* -1 (* a b)) (* c (+ (/ (* (pow a 3) c) (pow b 3)) (/ (pow a 2) b))))>
#<alt (+ (* -1 (* a b)) (* c (+ (* c (+ (* 2 (/ (* (pow a 4) c) (pow b 5))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -1/2 (/ (* a b) c))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* 1/2 (/ (* a b) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* a b)) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (* a b))) c)))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* -1/4 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))>
#<alt (+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))>
#<alt (* -1/2 (* a b))>
#<alt (* b (+ (* -1/2 a) (/ (* (pow a 2) c) (pow b 2))))>
#<alt (* b (+ (* -1/2 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))>
#<alt (* b (+ (* -1/2 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))>
#<alt (* 1/2 (* a b))>
#<alt (* -1 (* b (+ (* -1/2 a) (/ (* (pow a 2) c) (pow b 2)))))>
#<alt (* -1 (* b (+ (* -1/2 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))>
#<alt (* -1 (* b (+ (* -1/2 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))>
#<alt (* -1/2 (* a b))>
#<alt (* a (+ (* -1/2 b) (/ (* a c) b)))>
#<alt (* a (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (* a (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1/2 (* a b))>
#<alt (+ (* -1/2 (* a b)) (/ (* (pow a 2) c) b))>
#<alt (+ (* -1/2 (* a b)) (* c (+ (/ (* (pow a 3) c) (pow b 3)) (/ (pow a 2) b))))>
#<alt (+ (* -1/2 (* a b)) (* c (+ (* c (+ (* 2 (/ (* (pow a 4) c) (pow b 5))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))>
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))>
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))>
#<alt (* -1/2 b)>
#<alt (* b (- (/ (* a c) (pow b 2)) 1/2))>
#<alt (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2))>
#<alt (* 1/2 b)>
#<alt (* -1 (* b (- (/ (* a c) (pow b 2)) 1/2)))>
#<alt (* -1 (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)))>
#<alt (* -1 (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2)))>
#<alt (* -1/2 b)>
#<alt (+ (* -1/2 b) (/ (* a c) b))>
#<alt (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))>
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))>
#<alt (* -1/2 b)>
#<alt (+ (* -1/2 b) (/ (* a c) b))>
#<alt (+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))>
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
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#<alt (/ (+ (* -1 (pow b 4)) (* 4 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1 (pow b 4)) (* 4 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1 (pow b 4)) (* 4 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (* -1 b)>
#<alt (* b (- (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))>
#<alt (* b (- (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))>
#<alt (* b (- (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* -1 (* b (+ 1 (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* -1 (* b (+ 1 (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))>
#<alt (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))>
#<alt (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))>
#<alt (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))>
#<alt (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))>
#<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 (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
Calls

177 calls:

TimeVariablePointExpression
14.0ms
c
@-inf
(- (* (* c (/ a b)) a) (* a b))
8.0ms
b
@inf
(* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a)
5.0ms
c
@0
(/ (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))) (* a -2))
3.0ms
b
@0
(/ (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))) (* a -2))
2.0ms
b
@inf
(/ (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))) (* a -2))

rewrite414.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
3564×*-lowering-*.f32
3564×*-lowering-*.f64
3328×/-lowering-/.f32
3328×/-lowering-/.f64
2166×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049261
1303205
22813195
09174195
Stop Event
iter limit
node limit
Counts
21 → 692
Calls
Call 1
Inputs
(/ (+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2))) (* a a))
(+ (* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a) (* a (* b -1/2)))
(* (* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2) a)
(* (sqrt (+ (* b b) (* -4 (* a c)))) -1/2)
(/ b (neg a))
(neg a)
(/ 1 (* a (* b (/ -1 (* a c)))))
(* a (* b (/ -1 (* a c))))
(* b (/ -1 (* a c)))
(/ -1 (* a c))
(/ (- (* (* c (/ a b)) a) (* a b)) (* a a))
(- (* (* c (/ a b)) a) (* a b))
(* (* c (/ a b)) a)
(* c (/ a b))
(/ (+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))) (* a -2))
(+ b (/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b)))))
(/ (* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b)))) (- 1 (/ (* -2 (* a c)) (* b b))))
(* (- 0 b) (- 1 (* (/ (* 2 (* a (/ c b))) b) (/ (* 2 (* a (/ c b))) b))))
(sqrt (+ (* b b) (* -4 (* a c))))
(+ (* b b) (* -4 (* a c)))
(/ (* -2 (* a c)) (* b b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))))) (*.f64 a a)))
(/.f64 (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a a) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a a) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 (*.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)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal -1/8 binary64))) (*.f64 (*.f64 a a) (+.f64 (*.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 b (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.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 b (*.f64 a (*.f64 b a))) #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))) a) a)
(/.f64 (*.f64 (+.f64 (pow.f64 (*.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)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.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 b (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)))))) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.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 b (*.f64 a (*.f64 b a))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (/.f64 (*.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64)))) a)) (-.f64 #s(literal 0 binary64) a))
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(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal -1 binary64))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))
(neg.f64 (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (/.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))))
(/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b b))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) b)
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a c)) b)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) #s(literal -1 binary64))
(*.f64 (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))
(*.f64 (*.f64 a (/.f64 c b)) (/.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 a (/.f64 c b)) b)))
(*.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (/.f64 c b)) b))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b)))
(*.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))
(*.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (/.f64 c b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 c b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 a b)) c)
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c b)) a)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) (*.f64 a (/.f64 c b)))
(*.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 c b))

simplify479.0ms (3.3%)

Algorithm
egg-herbie
Rules
7270×*-lowering-*.f32
7270×*-lowering-*.f64
5702×+-lowering-+.f64
5702×+-lowering-+.f32
1694×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08739039
131888176
089378176
Stop Event
iter limit
node limit
Counts
708 → 708
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 (/ (* b (+ (* -1/2 a) (* 1/2 a))) (pow a 2)))
(* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (/ c (pow b 2))))))
(* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -1/2 (* a b)) (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))))))
(+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(* -1 (* a b))
(* b (+ (* -1 a) (/ (* (pow a 2) c) (pow b 2))))
(* b (+ (* -1 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))
(* b (+ (* -1 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))
(* -1 (* b (+ (* -1/2 a) (* 1/2 a))))
(* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))))
(* -1 (* a 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)))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))))
(* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* a b))
(+ (* -1 (* a b)) (/ (* (pow a 2) c) b))
(+ (* -1 (* a b)) (* c (+ (/ (* (pow a 3) c) (pow b 3)) (/ (pow a 2) b))))
(+ (* -1 (* a b)) (* c (+ (* c (+ (* 2 (/ (* (pow a 4) c) (pow b 5))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -1/2 (/ (* a b) c))))
(* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* 1/2 (/ (* a b) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* a b)) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (* a b))) c)))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* -1/4 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 (/ c b))
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* -1 (/ (- (* -1 (/ (+ (* -4 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 2 (* a c))) b))
(* -1 (/ (- (* -1 (/ (+ (* -8 (* (pow a 3) (pow c 3))) (* 8 (* (pow a 3) (pow c 3)))) (pow b 4))) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 2 (* a c)) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (/ (- (* -1 (/ (+ (* -16 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 2 (* a c)) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) b))
(+ b (* -1 b))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(* 2 (/ (* a c) b))
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))
(* 2 (/ (* a c) b))
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))
(+ b (* -1 b))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(* 2 (/ (* a c) b))
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))
(* 2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))
(* 2 (/ (* a c) b))
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(* -1 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* 2 (/ (* a c) b))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* 2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* -1 (pow b 4)) (* 4 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -1 (pow b 4)) (* 4 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -1 (pow b 4)) (* 4 (* (pow a 2) (pow c 2)))) (pow b 3))
(* -1 b)
(* b (- (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))
(* b (- (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))
(* b (- (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -1 (* b (+ 1 (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -1 (* b (+ 1 (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -1 b)
(+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))
(+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))
(+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))
(* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))
(* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (* 4 (/ (pow c 2) (pow b 3)))))
(* -1 b)
(+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))
(+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))
(+ (* -1 b) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))
(* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))
(* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (* 4 (/ (pow a 2) (pow b 3)))))
(* (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))))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 a a)) c) c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ (* b (+ (* -1/2 a) (* 1/2 a))) (pow a 2)))
(/.f64 #s(literal 0 binary64) (*.f64 a a))
(* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (/ c (pow b 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) a))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 a a)) c) c)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))))
(* -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 (*.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 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -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 (*.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 (*.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 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -4 (* a c))
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(pow b 2)
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(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* 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 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* 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 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))

eval217.0ms (1.5%)

Compiler

Compiled 39251 to 3651 computations (90.7% saved)

prune213.0ms (1.5%)

Pruning

64 alts after pruning (58 fresh and 6 done)

PrunedKeptTotal
New1382181400
Fresh74047
Picked235
Done033
Total1391641455
Accuracy
94.2%
Counts
1455 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))
21.7%
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
20.9%
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
1.5%
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
13.2%
(/.f64 (/.f64 (*.f64 a c) b) a)
27.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
32.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
28.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
15.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64)))) #s(literal -1 binary64)))))
28.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
27.5%
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
33.1%
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
33.2%
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
30.5%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
20.7%
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
33.1%
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
27.8%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
18.2%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
9.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
35.7%
(/.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 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
22.9%
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
31.2%
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
13.2%
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
13.6%
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
12.5%
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
13.4%
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
13.2%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
1.7%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
12.7%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
13.6%
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
34.2%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
31.6%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
28.5%
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
3.4%
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
31.8%
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
20.7%
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
13.2%
(/.f64 c b)
33.0%
(/.f64 b (neg.f64 a))
35.0%
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
13.2%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
33.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
27.5%
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
27.7%
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
13.5%
(/.f64 #s(literal 0 binary64) a)
13.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
51.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
34.2%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
34.8%
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
31.6%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
32.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
33.2%
(-.f64 (/.f64 c b) (/.f64 b a))
32.6%
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
32.1%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
35.2%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
13.5%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
27.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
34.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
32.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
31.2%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
25.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
35.1%
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
Compiler

Compiled 3056 to 1209 computations (60.4% saved)

regimes179.0ms (1.2%)

Counts
89 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(*.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 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.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 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 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)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.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 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 b (neg.f64 a))
Calls

4 calls:

55.0ms
(/.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))
45.0ms
a
31.0ms
c
26.0ms
b
Results
AccuracySegmentsBranch
51.4%1a
90.1%3b
55.3%3c
77.3%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)

regimes36.0ms (0.2%)

Counts
75 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(*.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 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 b (neg.f64 a))
Calls

1 calls:

23.0ms
b
Results
AccuracySegmentsBranch
90.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.3%)

Counts
74 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(*.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 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.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 b (neg.f64 a))
Calls

1 calls:

24.0ms
b
Results
AccuracySegmentsBranch
90.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.2%)

Counts
73 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(*.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 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

22.0ms
b
Results
AccuracySegmentsBranch
85.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Counts
71 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(*.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 a (*.f64 c #s(literal -4 binary64)))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

22.0ms
b
Results
AccuracySegmentsBranch
84.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Counts
70 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

20.0ms
b
Results
AccuracySegmentsBranch
84.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes44.0ms (0.3%)

Counts
69 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
(/.f64 (-.f64 (/.f64 a (/.f64 b c)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (/.f64 (/.f64 #s(literal -1 binary64) c) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 b a) (*.f64 c #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 c a) b) b)) (*.f64 a a))
(/.f64 (*.f64 b (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a))
(/.f64 (-.f64 (/.f64 b (/.f64 b (*.f64 c (/.f64 a b)))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 b c)) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b)) c) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 c (-.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 b c)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 c (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (/.f64 b c))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 b (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) b)) (*.f64 a #s(literal -2 binary64)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 b (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b))) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) (/.f64 a b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a b)) (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c)))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))) b))) b))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64))) (*.f64 b (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) #s(literal 1 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b)))))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (/.f64 c b))))))) (*.f64 a #s(literal -2 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

39.0ms
b
Results
AccuracySegmentsBranch
66.1%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
65.7%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

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

3 calls:

3.0ms
a
3.0ms
c
3.0ms
b
Results
AccuracySegmentsBranch
33.0%1a
33.0%1c
43.8%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.5b remaining (-1%)

Threshold costs -0.5b (-1%)

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

3 calls:

2.0ms
b
2.0ms
a
2.0ms
c
Results
AccuracySegmentsBranch
13.5%1a
13.5%1c
13.5%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch52.0ms (0.4%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
8.0ms
3.7908354457125838e+112
4.124180718103944e+114
38.0ms
-2.697516376906714e-22
-8.64279710250286e-30
Results
13.0ms111×0valid
13.0ms40×2valid
9.0ms41×1valid
2.0ms22×0invalid
Compiler

Compiled 371 to 268 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (42.1% of total)
ival-sub: 4.0ms (16.8% of total)
ival-sqrt: 3.0ms (12.6% of total)
ival-div: 3.0ms (12.6% of total)
backward-pass: 2.0ms (8.4% of total)
ival-neg: 2.0ms (8.4% of total)
const: 0.0ms (0% of total)

bsearch65.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.7908354457125838e+112
4.124180718103944e+114
42.0ms
-2.697516376906714e-22
-8.64279710250286e-30
Results
19.0ms173×0valid
15.0ms45×1valid
12.0ms38×2valid
2.0ms16×0invalid
Compiler

Compiled 483 to 348 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 11.0ms (37.2% of total)
ival-sub: 6.0ms (20.3% of total)
ival-sqrt: 5.0ms (16.9% of total)
ival-div: 3.0ms (10.1% of total)
backward-pass: 2.0ms (6.8% of total)
ival-neg: 2.0ms (6.8% of total)
const: 1.0ms (3.4% of total)

bsearch75.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.7908354457125838e+112
4.124180718103944e+114
47.0ms
-2.697516376906714e-22
-8.64279710250286e-30
Results
21.0ms177×0valid
17.0ms46×2valid
13.0ms33×1valid
3.0ms33×0invalid
Compiler

Compiled 483 to 348 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 19.0ms (51.3% of total)
ival-sub: 6.0ms (16.2% of total)
ival-sqrt: 4.0ms (10.8% of total)
ival-div: 3.0ms (8.1% of total)
backward-pass: 2.0ms (5.4% of total)
ival-neg: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)

bsearch81.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
8.334700267544461e-51
1.4769030125048126e-42
50.0ms
-2.697516376906714e-22
-8.64279710250286e-30
Results
24.0ms41×2valid
22.0ms205×0valid
11.0ms42×1valid
5.0ms52×0invalid
Compiler

Compiled 494 to 361 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 13.0ms (42.9% of total)
ival-sub: 5.0ms (16.5% of total)
ival-sqrt: 4.0ms (13.2% of total)
ival-div: 4.0ms (13.2% of total)
ival-neg: 3.0ms (9.9% of total)
backward-pass: 2.0ms (6.6% of total)
const: 1.0ms (3.3% of total)

bsearch104.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
8.334700267544461e-51
1.4769030125048126e-42
72.0ms
-2.697516376906714e-22
-8.64279710250286e-30
Results
31.0ms45×2valid
21.0ms207×0valid
8.0ms36×1valid
6.0ms63×0invalid
Compiler

Compiled 494 to 361 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
backward-pass: 19.0ms (40% of total)
ival-mult: 13.0ms (27.3% of total)
ival-sub: 5.0ms (10.5% of total)
ival-div: 4.0ms (8.4% of total)
ival-sqrt: 4.0ms (8.4% of total)
ival-neg: 3.0ms (6.3% of total)
const: 1.0ms (2.1% of total)

bsearch73.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
8.334700267544461e-51
1.4769030125048126e-42
40.0ms
-2.697516376906714e-22
-8.64279710250286e-30
Results
24.0ms213×0valid
16.0ms37×2valid
8.0ms38×1valid
7.0ms66×0invalid
Compiler

Compiled 494 to 361 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 13.0ms (35.3% of total)
ival-div: 7.0ms (19% of total)
ival-sub: 5.0ms (13.6% of total)
ival-neg: 5.0ms (13.6% of total)
ival-sqrt: 4.0ms (10.9% of total)
backward-pass: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-1.489590851452507e-307
2.869627716054554e-308
Results
11.0ms112×0valid
5.0ms49×0invalid
Compiler

Compiled 166 to 117 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (51.5% of total)
ival-sub: 2.0ms (20.6% of total)
ival-div: 1.0ms (10.3% of total)
ival-sqrt: 1.0ms (10.3% of total)
ival-neg: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-1.489590851452507e-307
2.869627716054554e-308
Results
12.0ms112×0valid
4.0ms45×0invalid
Compiler

Compiled 145 to 110 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.8% of total)
ival-sub: 2.0ms (20.9% of total)
ival-div: 1.0ms (10.4% of total)
ival-sqrt: 1.0ms (10.4% of total)
ival-neg: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-1.489590851452507e-307
2.869627716054554e-308
Results
13.0ms112×0valid
5.0ms48×0invalid
Compiler

Compiled 131 to 103 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.1% of total)
ival-sub: 1.0ms (10.3% of total)
ival-div: 1.0ms (10.3% of total)
ival-sqrt: 1.0ms (10.3% of total)
ival-neg: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify22.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
077230
197230
2109230
3117230
4122230
5124230
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -6779426540353309/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -2676089423823675/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984 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 b (neg.f64 a))))
(if (<=.f64 b #s(literal -5173772886059105/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 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 b (neg.f64 a))))
(if (<=.f64 b #s(literal -7136238463529799/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 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 -6279889847906223/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 8392073242338151/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 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 -6065802694000329/356811923176489970264571492362373784095686656 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 8214358750147461/421249166674228746791672110734681729275580381602196445017243910144 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)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(literal 0 binary64) a) (/.f64 b (neg.f64 a)))
(/.f64 #s(literal 0 binary64) a)
Outputs
(if (<=.f64 b #s(literal -6779426540353309/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -6779426540353309/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 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 #s(literal 0 binary64) (/.f64 b a))))
(if (<=.f64 b #s(literal -2676089423823675/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984 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 b (neg.f64 a))))
(if (<=.f64 b #s(literal -2676089423823675/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 110000000000000005129115031714808864501536883532600141035001999618036147843389699874699954139680099281122029993984 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 b a))))
(if (<=.f64 b #s(literal -5173772886059105/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 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 b (neg.f64 a))))
(if (<=.f64 b #s(literal -5173772886059105/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 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 #s(literal 0 binary64) (/.f64 b a))))
(if (<=.f64 b #s(literal -7136238463529799/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 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 -6279889847906223/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 8392073242338151/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 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 -6065802694000329/356811923176489970264571492362373784095686656 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 8214358750147461/421249166674228746791672110734681729275580381602196445017243910144 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)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(literal 0 binary64) a) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 #s(literal 0 binary64) a)

soundness3.0s (21%)

Rules
7270×*-lowering-*.f32
7270×*-lowering-*.f64
6774×*-lowering-*.f32
6774×*-lowering-*.f64
6082×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
05062937
117082730
263342677
080522677
037170
1232158
22194150
09721150
011108875
140028204
089708204
01343
16039
250439
3639739
0803739
05715911
119425584
271875552
080185552
08739039
131888176
089378176
01416
13916
210115
327014
449414
5100314
6316014
7580614
8644214
9737214
10753714
11757714
12758314
0758314
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 700 to 420 computations (40% saved)

preprocess78.0ms (0.5%)

Compiler

Compiled 748 to 236 computations (68.4% saved)

end0.0ms (0%)

Profiling

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