The quadratic formula (r2)

Time bar (total: 13.6s)

analyze202.0ms (1.5%)

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: 92.0ms
ival-mult: 38.0ms (41.3% of total)
ival-sub: 16.0ms (17.4% of total)
ival-neg: 13.0ms (14.1% of total)
ival-sqrt: 12.0ms (13% of total)
ival-div: 10.0ms (10.9% of total)
const: 3.0ms (3.3% of total)
backward-pass: 1.0ms (1.1% of total)

sample2.1s (15.3%)

Results
688.0ms1898×2valid
650.0ms5553×0valid
189.0ms805×1valid
104.0ms910×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 387.0ms (36.7% of total)
ival-sub: 191.0ms (18.1% of total)
ival-sqrt: 131.0ms (12.4% of total)
ival-div: 120.0ms (11.4% of total)
backward-pass: 102.0ms (9.7% of total)
ival-neg: 101.0ms (9.6% of total)
const: 23.0ms (2.2% of total)
Bogosity

preprocess223.0ms (1.6%)

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))

explain217.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
570-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
180-1(1.9696355901860705e-253 -2.2659691806401076e+101 1.0496185423526566e+39)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
10-0-(-.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
85.0ms138×2valid
59.0ms336×0valid
13.0ms38×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 21.0ms (32% of total)
ival-sub: 13.0ms (19.8% of total)
backward-pass: 10.0ms (15.2% of total)
ival-sqrt: 7.0ms (10.7% of total)
ival-div: 6.0ms (9.1% of total)
ival-neg: 6.0ms (9.1% of total)
const: 1.0ms (1.5% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

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)

localize97.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy93.3%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
accuracy79.3%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
43.0ms69×2valid
31.0ms168×0valid
6.0ms19×1valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 13.0ms (37.9% of total)
ival-add: 7.0ms (20.4% of total)
ival-sqrt: 6.0ms (17.5% of total)
backward-pass: 5.0ms (14.6% of total)
ival-div: 3.0ms (8.7% of total)
const: 1.0ms (2.9% of total)

series24.0ms (0.2%)

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

36 calls:

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

rewrite310.0ms (2.3%)

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)))))))

simplify492.0ms (3.6%)

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))))

eval80.0ms (0.6%)

Compiler

Compiled 17927 to 1701 computations (90.5% saved)

prune77.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New45115466
Fresh000
Picked101
Done000
Total45215467
Accuracy
92.2%
Counts
467 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.8%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
51.6%
(/.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))))))))
33.9%
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
51.7%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
31.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
26.8%
(/.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))
33.9%
(/.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)))
51.7%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
51.7%
(/.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))
34.8%
(-.f64 (/.f64 c b) (/.f64 b a))
33.9%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
36.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
34.7%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
51.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
34.2%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 518 to 338 computations (34.7% saved)

simplify230.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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)))))))
cost-diff0
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)
cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b))
cost-diff128
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
cost-diff256
(/.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)))
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
2410×*-lowering-*.f32
2410×*-lowering-*.f64
1708×/-lowering-/.f32
1708×/-lowering-/.f64
1500×fma-lowering-fma.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
032238
179227
2180224
3385222
4972219
52452219
64826217
77203217
08209217
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
(/ (* b (+ 2 (/ (/ (* a (* c -2)) b) b))) (* a -2))
(* b (+ 2 (/ (/ (* a (* c -2)) b) b)))
b
(+ 2 (/ (/ (* a (* c -2)) b) b))
2
(/ (/ (* a (* c -2)) b) b)
(/ (* a (* c -2)) b)
(* a (* c -2))
a
(* c -2)
c
-2
(* a -2)
(* (/ -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
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 #s(literal -4 binary64) (*.f64 a c)))))) a)
-1/2
#s(literal -1/2 binary64)
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #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 a (/.f64 c b)) b)
(/ (* c a) b)
(*.f64 a (/.f64 c b))
(* c a)
(*.f64 a c)
c
a
b
(/ (* b (+ 2 (/ (/ (* a (* c -2)) b) b))) (* a -2))
(+.f64 (/.f64 c b) (/.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -2 binary64)) a))
(* b (+ 2 (/ (/ (* a (* c -2)) b) b)))
(+.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 b #s(literal 2 binary64)))
b
(+ 2 (/ (/ (* a (* c -2)) b) b))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b))) b))
2
#s(literal 2 binary64)
(/ (/ (* a (* c -2)) b) b)
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b))) b)
(/ (* a (* c -2)) b)
(*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a 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))
(* (/ -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 #s(literal -4 binary64) (*.f64 a c)))))) 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 #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)

localize306.0ms (2.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy93.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
accuracy79.3%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
accuracy97.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)
accuracy94.4%
(/.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)))
accuracy94.3%
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
accuracy93.0%
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
accuracy100.0%
(-.f64 (/.f64 (*.f64 c a) b) b)
accuracy100.0%
(*.f64 c a)
accuracy94.8%
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
accuracy94.3%
(/.f64 (*.f64 c a) b)
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
accuracy99.7%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
accuracy93.8%
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
accuracy79.3%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
96.0ms64×2valid
84.0ms168×0valid
52.0ms20×1valid
7.0ms3valid
Compiler

Compiled 258 to 33 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-div: 27.0ms (34.9% of total)
ival-mult: 23.0ms (29.7% of total)
backward-pass: 12.0ms (15.5% of total)
ival-add: 6.0ms (7.7% of total)
ival-sqrt: 5.0ms (6.5% of total)
ival-sub: 3.0ms (3.9% of total)
const: 1.0ms (1.3% of total)

series51.0ms (0.4%)

Counts
18 → 588
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 (/ (* b (+ 2 (/ (/ (* a (* c -2)) b) b))) (* a -2))>
#<alt (* b (+ 2 (/ (/ (* a (* c -2)) b) b)))>
#<alt (+ 2 (/ (/ (* a (* c -2)) b) b))>
#<alt (/ (/ (* a (* c -2)) b) b)>
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))>
#<alt (/ -1/2 a)>
#<alt (/ (* a (* c -2)) b)>
#<alt (+ (* b b) (* a (* c -4)))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<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))>
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#<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 (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) 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 (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<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 (* -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 (* -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

147 calls:

TimeVariablePointExpression
7.0ms
c
@-inf
(/ (* b (+ 2 (/ (/ (* a (* c -2)) b) b))) (* a -2))
4.0ms
c
@inf
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
2.0ms
c
@0
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
1.0ms
a
@inf
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
1.0ms
a
@-inf
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))

rewrite386.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3908×/-lowering-/.f32
3908×/-lowering-/.f64
3262×*-lowering-*.f32
3262×*-lowering-*.f64
1560×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032158
1194150
21792147
08294147
Stop Event
iter limit
node limit
Counts
18 → 1030
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)
(/ (* b (+ 2 (/ (/ (* a (* c -2)) b) b))) (* a -2))
(* b (+ 2 (/ (/ (* a (* c -2)) b) b)))
(+ 2 (/ (/ (* a (* c -2)) b) b))
(/ (/ (* a (* c -2)) b) b)
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/ -1/2 a)
(/ (* a (* c -2)) b)
(+ (* b b) (* a (* c -4)))
Outputs
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal -1 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 -1/2 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 -1/2 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.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 (*.f64 b b) (+.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 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (neg.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 #s(literal -1/2 binary64) a))) (neg.f64 (-.f64 (+.f64 (*.f64 b b) (+.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 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.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)))
(pow.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 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 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(*.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 -1/2 binary64))))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))
(pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(neg.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(pow.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b))
(*.f64 (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))
(*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))
(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.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)))))) #s(literal 1/2 binary64)))
(fabs.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 a 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 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(sqrt.f64 (*.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))))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.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 (*.f64 a c) (*.f64 a c)) #s(literal 16 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 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.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))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (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 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.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 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)))

simplify395.0ms (2.9%)

Algorithm
egg-herbie
Rules
9002×*-lowering-*.f32
9002×*-lowering-*.f64
4328×+-lowering-+.f64
4328×+-lowering-+.f32
1544×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08517530
129957003
090347003
Stop Event
iter limit
node limit
Counts
588 → 588
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)))))
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(* 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))))
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(* (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)))
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(* (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))))
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(* 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))))))
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(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* c (+ (* -1 (/ b 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))))
(* -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))))
(/ (* 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)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) 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))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* 2 (/ b a))))
(* a (+ (* -2 (/ c b)) (* 2 (/ b a))))
(* a (+ (* -2 (/ c b)) (* 2 (/ b a))))
(* -2 (/ (* a c) b))
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* 2 (/ b c))))
(* c (+ (* -2 (/ a b)) (* 2 (/ b c))))
(* c (+ (* -2 (/ a b)) (* 2 (/ b c))))
(* -2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -2 (/ (* a c) (pow b 2)))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 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)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* 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)
(* -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))
(* -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 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b (*.f64 b (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/128 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b (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 (*.f64 #s(literal -1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.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 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
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2
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(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* -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))

eval287.0ms (2.1%)

Compiler

Compiled 45125 to 3930 computations (91.3% saved)

prune211.0ms (1.6%)

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New1793231816
Fresh2810
Picked415
Done000
Total1799321831
Accuracy
92.2%
Counts
1831 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
12.5%
(/.f64 (/.f64 (*.f64 a c) b) a)
29.8%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
26.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
51.6%
(/.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))))))))
34.7%
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
9.5%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
35.8%
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
51.7%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
31.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
26.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.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)))))))
12.5%
(/.f64 c b)
33.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 a c) b) b)))
36.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
12.5%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))))
31.8%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
30.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
36.1%
(/.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)))))
51.7%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a))
32.4%
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))))
34.7%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
34.8%
(-.f64 (/.f64 c b) (/.f64 b a))
33.9%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
36.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
34.6%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
18.8%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
12.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
51.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
31.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
30.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
34.6%
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
34.7%
(neg.f64 (/.f64 b a))
Compiler

Compiled 1027 to 675 computations (34.3% saved)

simplify206.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
cost-diff6592
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 (*.f64 b b) (*.f64 a a))
cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))
cost-diff512
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (*.f64 a c) b)
cost-diff256
(/.f64 (/.f64 (*.f64 a c) b) a)
cost-diff0
(/.f64 c b)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
cost-diff0
(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
cost-diff0
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
Rules
2082×*-lowering-*.f32
2082×*-lowering-*.f64
2032×fnmadd-define
1808×fma-lowering-fma.f32
1808×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032157
175147
2188137
3625137
44054137
56237137
08450137
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))) (* a -2))
(+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))))
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))
1
(sqrt (/ 1 (+ (* b b) (* a (* c -4)))))
(/ 1 (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
(* a (* c -4))
a
(* c -4)
c
-4
(* a -2)
-2
(/ c b)
c
b
(/ (/ (* a c) b) a)
(/ (* a c) b)
(* a c)
a
c
b
(/ (- 0 (/ (* b b) (* a a))) (/ b a))
(- 0 (/ (* b b) (* a a)))
0
(/ (* b b) (* a a))
(* b b)
b
(* a a)
a
(/ b a)
(- 0 (* (/ 1 a) (pow (/ 1 b) -1)))
0
(* (/ 1 a) (pow (/ 1 b) -1))
(/ 1 a)
1
a
(pow (/ 1 b) -1)
(/ 1 b)
b
-1
Outputs
(/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))) (* a -2))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
(+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))))
(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (+ (* b b) (* a (* c -4)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/ 1 (+ (* b b) (* a (* c -4))))
(/.f64 #s(literal 1 binary64) (+.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)
(/ c b)
(/.f64 c b)
c
b
(/ (/ (* a c) b) a)
(/.f64 c b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(* a c)
(*.f64 a c)
a
c
b
(/ (- 0 (/ (* b b) (* a a))) (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- 0 (/ (* b b) (* a a)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
0
#s(literal 0 binary64)
(/ (* b b) (* a a))
(/.f64 (/.f64 (*.f64 b b) a) a)
(* b b)
(*.f64 b b)
b
(* a a)
(*.f64 a a)
a
(/ b a)
(/.f64 b a)
(- 0 (* (/ 1 a) (pow (/ 1 b) -1)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
0
#s(literal 0 binary64)
(* (/ 1 a) (pow (/ 1 b) -1))
(/.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(pow (/ 1 b) -1)
b
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
b
-1
#s(literal -1 binary64)

localize375.0ms (2.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
accuracy99.8%
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 a a)
accuracy74.9%
(/.f64 (*.f64 b b) (*.f64 a a))
accuracy50.1%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
accuracy100.0%
(*.f64 a c)
accuracy94.3%
(/.f64 (*.f64 a c) b)
accuracy84.8%
(/.f64 (/.f64 (*.f64 a c) b) a)
accuracy100.0%
(/.f64 c b)
accuracy98.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
accuracy93.3%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64)))
accuracy79.3%
(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
accuracy60.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
Results
153.0ms23×3valid
84.0ms168×0valid
67.0ms46×2valid
23.0ms19×1valid
Compiler

Compiled 206 to 33 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-div: 30.0ms (33.2% of total)
ival-mult: 19.0ms (21% of total)
backward-pass: 13.0ms (14.4% of total)
ival-pow: 11.0ms (12.2% of total)
ival-sub: 5.0ms (5.5% of total)
ival-sqrt: 5.0ms (5.5% of total)
ival-add: 5.0ms (5.5% of total)
const: 1.0ms (1.1% of total)

series27.0ms (0.2%)

Counts
18 → 468
Calls
Call 1
Inputs
#<alt (/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))) (* a -2))>
#<alt (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))))>
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))>
#<alt (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))>
#<alt (/ c b)>
#<alt (/ (/ (* a c) b) a)>
#<alt (/ (* a c) b)>
#<alt (* a c)>
#<alt (/ (- 0 (/ (* b b) (* a a))) (/ b a))>
#<alt (- 0 (/ (* b b) (* a a)))>
#<alt (/ (* b b) (* a a))>
#<alt (* b b)>
#<alt (pow (/ 1 b) -1)>
#<alt (* (/ 1 a) (pow (/ 1 b) -1))>
#<alt (- 0 (* (/ 1 a) (pow (/ 1 b) -1)))>
#<alt (/ 1 a)>
#<alt (/ 1 (+ (* b b) (* a (* c -4))))>
#<alt (* a a)>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) 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 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)>
#<alt (/ -1 b)>
#<alt (* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))>
#<alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))>
#<alt (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* 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 (/ 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 (/ 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 (/ (* 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 (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ -1/4 (* a c))>
#<alt (- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
Calls

117 calls:

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

rewrite336.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
3792×/-lowering-/.f32
3792×/-lowering-/.f64
3074×*-lowering-*.f32
3074×*-lowering-*.f64
1388×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032123
120193
2179793
0846493
Stop Event
iter limit
node limit
Counts
18 → 996
Calls
Call 1
Inputs
(/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))) (* a -2))
(+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))))
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))
(sqrt (/ 1 (+ (* b b) (* a (* c -4)))))
(/ c b)
(/ (/ (* a c) b) a)
(/ (* a c) b)
(* a c)
(/ (- 0 (/ (* b b) (* a a))) (/ b a))
(- 0 (/ (* b b) (* a a)))
(/ (* b b) (* a a))
(* b b)
(pow (/ 1 b) -1)
(* (/ 1 a) (pow (/ 1 b) -1))
(- 0 (* (/ 1 a) (pow (/ 1 b) -1)))
(/ 1 a)
(/ 1 (+ (* b b) (* a (* c -4))))
(* a a)
Outputs
(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 (/.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 (-.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 #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) (neg.f64 (neg.f64 (/.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 a #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 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 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 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))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 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 #s(literal -1/2 binary64) a))))
(/.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 #s(literal -1/2 binary64) a))))
(/.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 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #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 (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 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 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 (*.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))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64))))
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(*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) b)) a)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (/.f64 a (/.f64 (*.f64 b b) a))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a a))) (/.f64 b a))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) (-.f64 #s(literal 0 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (/.f64 a (/.f64 (*.f64 b b) a))))) (/.f64 a b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a a)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a a)))) (/.f64 a b)) (/.f64 a (/.f64 (*.f64 b b) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (/.f64 a (/.f64 (*.f64 b b) a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a a)))))
(*.f64 (pow.f64 (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 (/.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 a (/.f64 (*.f64 b b) a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a)) (/.f64 #s(literal -1 binary64) a))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a)
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.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 a 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 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) (/.f64 (*.f64 b (*.f64 b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.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))))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))

simplify385.0ms (2.8%)

Algorithm
egg-herbie
Rules
6504×*-lowering-*.f32
6504×*-lowering-*.f64
4182×+-lowering-+.f64
4182×+-lowering-+.f32
1904×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08385825
128745383
081535383
Stop Event
iter limit
node limit
Counts
468 → 468
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)))
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(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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 (*.f64 c (*.f64 a 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 (*.f64 c (*.f64 a 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 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 (*.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 (*.f64 c (*.f64 a 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 (*.f64 c (*.f64 a 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))))
(+ (* -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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b))) (*.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 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a a))) (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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) (*.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 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)))) 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 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal 1/128 binary64) (*.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))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))))
(* 2 (/ (* a c) b))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b)
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)))) b)
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(* 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)))))
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(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 (*.f64 c c) (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(+.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c c) (*.f64 a a))))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 b b)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c c) (*.f64 a a))))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64)))))))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (+.f64 (*.f64 a (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 8 binary64)))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64)))))))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1/4 binary64) c)) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c)))) (/.f64 #s(literal -1/4 binary64) c)) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) c) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)))))) a)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c)))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 c c)) c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c c))))) (neg.f64 a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))))))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 c (*.f64 a a)) a)) (pow.f64 b #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))))))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 c (*.f64 a a)) a) c)) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 c (*.f64 a a)) a) c))))) c)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a)))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c (*.f64 a a)) a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

eval199.0ms (1.5%)

Compiler

Compiled 30943 to 3781 computations (87.8% saved)

prune221.0ms (1.6%)

Pruning

56 alts after pruning (54 fresh and 2 done)

PrunedKeptTotal
New1456321488
Fresh42226
Picked415
Done011
Total1464561520
Accuracy
92.6%
Counts
1520 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
12.4%
(/.f64 (/.f64 (*.f64 a c) a) b)
29.8%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
12.4%
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 b b) a)) a) (/.f64 b a))
26.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
51.6%
(/.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))))))))
34.6%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
6.5%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))) (/.f64 b a))
7.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 b a))
18.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))
5.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a)) #s(literal 2 binary64)))) (/.f64 b a))
8.9%
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) (*.f64 (log.f64 a) #s(literal 2 binary64))))) (/.f64 b a))
9.6%
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))) (/.f64 b a))
35.8%
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
51.7%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64)))
19.6%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 a #s(literal -2 binary64)))
29.9%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
31.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
13.3%
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 (/.f64 b a) b) a))
12.6%
(/.f64 (*.f64 (/.f64 c b) a) a)
26.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.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)))))))
27.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) b)
12.5%
(/.f64 c b)
13.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
12.5%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
34.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
36.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
12.5%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))))
31.8%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
30.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
36.1%
(/.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)))))
51.7%
(/.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))
34.7%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
34.8%
(-.f64 (/.f64 c b) (/.f64 b a))
33.9%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
36.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
34.6%
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
19.5%
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 a a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
34.7%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) a)))
26.9%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b b) #s(literal 1/2 binary64))))
31.3%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) b)))))
26.6%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))))
25.8%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
31.4%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (log.f64 b))))
11.7%
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a))))
15.6%
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (/.f64 b (*.f64 a a)) (/.f64 b a))))
17.8%
(-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (log.f64 b))))
18.8%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
17.4%
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
12.5%
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
12.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
51.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
31.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
30.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
34.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
34.7%
(neg.f64 (/.f64 b a))
Compiler

Compiled 1847 to 1217 computations (34.1% saved)

simplify164.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff256
(/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b)
cost-diff512
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))
cost-diff512
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 b a))
cost-diff6080
(pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff256
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))
cost-diff256
(+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))
cost-diff256
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
cost-diff0
(*.f64 (/.f64 c b) #s(literal 2 binary64))
cost-diff0
(*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))
cost-diff128
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
cost-diff256
(/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
cost-diff-64
(neg.f64 (/.f64 b a))
cost-diff0
(/.f64 b a)
cost-diff0
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))
cost-diff0
(+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))))
cost-diff0
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64)))
Rules
2884×*-lowering-*.f32
2884×*-lowering-*.f64
1816×sum5-define
1682×fma-lowering-fma.f32
1682×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042290
1122257
2387250
31825216
46451216
08396216
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))) (* a -2))
(+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)))
b
(/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))
1
(pow (+ (* b b) (* a (* c -4))) -1/2)
(+ (* b b) (* a (* c -4)))
(* b b)
(* a (* c -4))
a
(* c -4)
c
-4
-1/2
(* a -2)
-2
(neg (/ b a))
(/ b a)
b
a
(/ -1/2 (/ a (* a (* (/ c b) 2))))
-1/2
(/ a (* a (* (/ c b) 2)))
a
(* a (* (/ c b) 2))
(* (/ c b) 2)
(/ c b)
c
b
2
(* (/ -1/2 a) (+ b (* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b))))))
(/ -1/2 a)
-1/2
a
(+ b (* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b)))))
b
(* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b))))
(- 0 b)
0
(+ 1 (/ (* a (* c -2)) (* b b)))
1
(/ (* a (* c -2)) (* b b))
(* a (* c -2))
(* c -2)
c
-2
(* b b)
(/ (- 0 (* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))) (/ b a))
(- 0 (* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a)))
0
(* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))
(pow (/ (/ (* (/ b a) b) a) b) 2)
(/ (/ (* (/ b a) b) a) b)
(/ (* (/ b a) b) a)
(* (/ b a) b)
(/ b a)
b
a
2
(* a a)
Outputs
(/ (+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))) (* a -2))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)))
(+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))))
b
(/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow (+ (* b b) (* a (* c -4))) -1/2)
(pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* a (* c -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
-1/2
#s(literal -1/2 binary64)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(neg (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
b
a
(/ -1/2 (/ a (* a (* (/ c b) 2))))
(/.f64 (*.f64 #s(literal -1 binary64) c) b)
-1/2
#s(literal -1/2 binary64)
(/ a (* a (* (/ c b) 2)))
(/.f64 b (*.f64 c #s(literal 2 binary64)))
a
(* a (* (/ c b) 2))
(/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)
(* (/ c b) 2)
(/.f64 (*.f64 c #s(literal 2 binary64)) b)
(/ c b)
(/.f64 c b)
c
b
2
#s(literal 2 binary64)
(* (/ -1/2 a) (+ b (* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) #s(literal -1 binary64)))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b)))))
(/.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) #s(literal -1 binary64))) b)
b
(* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b))))
(-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(+ 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))
(*.f64 a (*.f64 c #s(literal -2 binary64)))
(* c -2)
(*.f64 c #s(literal -2 binary64))
c
-2
#s(literal -2 binary64)
(* b b)
(*.f64 b b)
(/ (- 0 (* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))) (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- 0 (* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
0
#s(literal 0 binary64)
(* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))
(/.f64 (/.f64 (*.f64 b b) a) a)
(pow (/ (/ (* (/ b a) b) a) b) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 b b) a) a) a) a)
(/ (/ (* (/ b a) b) a) b)
(/.f64 (/.f64 b a) a)
(/ (* (/ b a) b) a)
(/.f64 (/.f64 (*.f64 b b) a) a)
(* (/ b a) b)
(/.f64 (*.f64 b b) a)
(/ b a)
(/.f64 b a)
b
a
2
#s(literal 2 binary64)
(* a a)
(*.f64 a a)

localize542.0ms (4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy97.0%
(/.f64 (*.f64 (/.f64 b a) b) a)
accuracy89.7%
(/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b)
accuracy50.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 b a))
accuracy45.8%
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))
accuracy93.0%
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))
accuracy84.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
accuracy83.5%
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
accuracy56.7%
(+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))
accuracy100.0%
(*.f64 (/.f64 c b) #s(literal 2 binary64))
accuracy99.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
accuracy91.2%
(*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))
accuracy84.7%
(/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(neg.f64 (/.f64 b a))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))
accuracy93.3%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64)))
accuracy79.3%
(+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))))
accuracy59.0%
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))
Results
160.0ms64×2valid
107.0ms83×1valid
98.0ms23×3valid
54.0ms86×0valid
Compiler

Compiled 333 to 43 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-div: 58.0ms (29.5% of total)
ival-mult: 51.0ms (26% of total)
ival-pow: 33.0ms (16.8% of total)
backward-pass: 29.0ms (14.8% of total)
ival-add: 15.0ms (7.6% of total)
ival-sub: 5.0ms (2.5% of total)
const: 2.0ms (1% of total)
ival-neg: 2.0ms (1% of total)

series37.0ms (0.3%)

Counts
20 → 600
Calls
Call 1
Inputs
#<alt (/ (+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))) (* a -2))>
#<alt (+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)))>
#<alt (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))>
#<alt (pow (+ (* b b) (* a (* c -4))) -1/2)>
#<alt (/ b a)>
#<alt (neg (/ b a))>
#<alt (/ a (* a (* (/ c b) 2)))>
#<alt (/ -1/2 (/ a (* a (* (/ c b) 2))))>
#<alt (* a (* (/ c b) 2))>
#<alt (* (/ c b) 2)>
#<alt (* (/ -1/2 a) (+ b (* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b))))))>
#<alt (+ b (* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b)))))>
#<alt (* (- 0 b) (+ 1 (/ (* a (* c -2)) (* b b))))>
#<alt (/ -1/2 a)>
#<alt (pow (/ (/ (* (/ b a) b) a) b) 2)>
#<alt (/ (- 0 (* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))) (/ b a))>
#<alt (* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))>
#<alt (/ (/ (* (/ b a) b) a) b)>
#<alt (/ (* a (* c -2)) (* b b))>
#<alt (/ (* (/ b a) b) a)>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) 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))))))>
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#<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 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* 2 (/ c b))>
#<alt (* -1/2 (/ (+ b (* -1 b)) a))>
#<alt (/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)>
#<alt (/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)>
#<alt (/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1/2 (/ (+ b (* -1 b)) a))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))>
#<alt (* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))>
#<alt (* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))>
#<alt (* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))>
#<alt (* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (+ b (* -1 b))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))>
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))>
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))>
#<alt (+ b (* -1 b))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))>
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))>
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))>
#<alt (* 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 (+ (* -1 b) (* 2 (/ (* a c) b)))>
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))>
#<alt (+ (* -1 b) (* 2 (/ (* a c) 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 (+ (* -2 (/ c b)) (/ b a))))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (/ b a))))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (/ b a))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))>
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))>
#<alt (+ (* -1 b) (* 2 (/ (* a c) 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 (+ (* -2 (/ a b)) (/ b c))))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (/ b c))))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (/ b 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 (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (/ (pow b 2) (pow a 4))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
Calls

150 calls:

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

rewrite411.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
5814×*-lowering-*.f32
5814×*-lowering-*.f64
3686×/-lowering-/.f32
3686×/-lowering-/.f64
2356×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042200
1269167
22673162
011735162
Stop Event
iter limit
node limit
Counts
20 → 656
Calls
Call 1
Inputs
(/ (+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))) (* a -2))
(+ b (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)))
(/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))
(pow (+ (* b b) (* a (* c -4))) -1/2)
(/ b a)
(neg (/ b a))
(/ a (* a (* (/ c b) 2)))
(/ -1/2 (/ a (* a (* (/ c b) 2))))
(* a (* (/ c b) 2))
(* (/ c b) 2)
(* (/ -1/2 a) (+ 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))))
(/ -1/2 a)
(pow (/ (/ (* (/ b a) b) a) b) 2)
(/ (- 0 (* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))) (/ b a))
(* (pow (/ (/ (* (/ b a) b) a) b) 2) (* a a))
(/ (/ (* (/ b a) b) a) b)
(/ (* a (* c -2)) (* b b))
(/ (* (/ b a) b) a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal -1 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 (-.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 -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 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 -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 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 (*.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 -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 a #s(literal -1/2 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 (*.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))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #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 -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (neg.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64)) (/.f64 a #s(literal -1/2 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 #s(literal -1/2 binary64) a)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (/.f64 b (/.f64 a b)) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b))) (neg.f64 (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b))) (*.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (/.f64 b (/.f64 a b))))
(/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)) (*.f64 b a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64)) b)
(/.f64 (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (/.f64 b (/.f64 a b)) b) a)
(/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 b a)))) (exp.f64 (log.f64 b)))
(/.f64 (exp.f64 (log.f64 (/.f64 b (/.f64 a b)))) (exp.f64 (log.f64 (*.f64 b a))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) b))))
(pow.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) (*.f64 (/.f64 b (/.f64 (/.f64 b (/.f64 a b)) a)) b)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 b (/.f64 (/.f64 b (/.f64 a b)) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (/.f64 b (/.f64 a b))) b) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (/.f64 (/.f64 b (/.f64 a b)) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b a) (/.f64 b (/.f64 a b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 b (/.f64 (/.f64 b a) (*.f64 b a)))
(*.f64 b (pow.f64 (/.f64 (/.f64 b a) (*.f64 b a)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b))
(*.f64 (/.f64 b a) (/.f64 (/.f64 b a) b))
(*.f64 (/.f64 b a) (*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b a) (/.f64 b (*.f64 b a)))
(*.f64 (/.f64 b a) (pow.f64 (/.f64 (/.f64 b a) b) #s(literal 1 binary64)))
(*.f64 (/.f64 b a) (pow.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64)))
(*.f64 (/.f64 b a) (pow.f64 (/.f64 b (*.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 b (/.f64 a b)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 (/.f64 (/.f64 b (/.f64 a b)) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b (/.f64 a b)) a))
(*.f64 (/.f64 b b) (/.f64 (/.f64 b a) a))
(*.f64 (/.f64 (/.f64 b a) b) (/.f64 b a))
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)
(*.f64 (pow.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 b a))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 b b) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 b b))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1 binary64)) b)
(*.f64 (pow.f64 (/.f64 b (/.f64 b (/.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 b a)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(neg.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64))))))
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) b)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #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 #s(literal -2 binary64)) (/.f64 a b))) b)
(/.f64 (*.f64 (*.f64 a (*.f64 c #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 #s(literal -2 binary64)) (/.f64 a b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 a b) (*.f64 c #s(literal -2 binary64))) b)
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b))))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b)))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 a b) (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)))
(*.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 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -2 binary64) b))
(*.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b)) a)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b)))
(*.f64 (pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64)) (pow.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 b a))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 b (/.f64 a b)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b (/.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal 1 binary64)))
(/.f64 (*.f64 b b) (*.f64 a a))
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 (/.f64 b (/.f64 a b)) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 b (/.f64 a b)))))
(/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)) a)
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a (/.f64 a b)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 a b) a))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b)))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 a b))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64))
(pow.f64 (/.f64 a b) #s(literal -2 binary64))
(pow.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 (/.f64 b a) a))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
(*.f64 b (*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)))
(*.f64 b (pow.f64 (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
(*.f64 b (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) #s(literal 1 binary64)))
(*.f64 b (pow.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a))
(*.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))
(*.f64 (*.f64 b b) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b))
(*.f64 (pow.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 (/.f64 b (/.f64 a b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 a b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)))

simplify706.0ms (5.2%)

Algorithm
egg-herbie
Rules
7842×*-lowering-*.f32
7842×*-lowering-*.f64
4120×+-lowering-+.f64
4120×+-lowering-+.f32
1830×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07386823
125036220
084356220
Stop Event
iter limit
node limit
Counts
600 → 600
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))
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(* -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))))
(/ -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)
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(/ (pow b 2) (pow a 4))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 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)))
(* -2 (/ (* a c) (pow b 2)))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 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 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (+.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) 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 c (*.f64 c a)) (*.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) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.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 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (/.f64 (*.f64 #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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.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 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))))) (*.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 c a)))) (/.f64 b (*.f64 c a)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))))) (*.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 #s(literal 0 binary64) (*.f64 c (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(* -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 (neg.f64 c) #s(literal -1 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/128 binary64)))) c)) (neg.f64 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
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(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(/ b (pow a 2))
(/.f64 b (*.f64 a a))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (*.f64 b b) (*.f64 a a))

eval308.0ms (2.3%)

Compiler

Compiled 32185 to 3722 computations (88.4% saved)

prune284.0ms (2.1%)

Pruning

72 alts after pruning (66 fresh and 6 done)

PrunedKeptTotal
New1353251378
Fresh84149
Picked145
Done022
Total1362721434
Accuracy
92.6%
Counts
1434 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) a)
12.4%
(/.f64 (/.f64 (*.f64 a c) a) b)
26.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
51.6%
(/.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))))))))
34.6%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
6.5%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))) (/.f64 b a))
7.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 b a))
7.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
6.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 b a))
6.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) (/.f64 (/.f64 b (/.f64 a b)) a)) b) (*.f64 a a))) (/.f64 b a))
18.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))
5.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a)) #s(literal 2 binary64)))) (/.f64 b a))
6.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b)))) (*.f64 a a))) (/.f64 b a))
9.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
23.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a))
28.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b)))
8.9%
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) (*.f64 (log.f64 a) #s(literal 2 binary64))))) (/.f64 b a))
8.2%
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b)))))) (/.f64 b a))
9.6%
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))) (/.f64 b a))
35.8%
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
51.7%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64)))
19.6%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 a #s(literal -2 binary64)))
29.9%
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
31.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
13.3%
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 (/.f64 b a) b) a))
12.6%
(/.f64 (*.f64 (/.f64 c b) a) a)
26.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.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)))))))
27.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) b)
12.5%
(/.f64 c b)
13.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
12.5%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
34.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
12.8%
(/.f64 #s(literal 0 binary64) a)
36.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b c) #s(literal 2 binary64)))
31.8%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
30.2%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a)))
30.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
36.4%
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 c b)))
36.1%
(/.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)))))
30.0%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) a) a))
51.7%
(/.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))
36.3%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) b))
31.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a) #s(literal -1 binary64))))
29.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)))))
34.7%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
34.8%
(-.f64 (/.f64 c b) (/.f64 b a))
33.9%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
36.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
34.6%
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
19.5%
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 a a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
34.7%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) a)))
26.9%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b b) #s(literal 1/2 binary64))))
31.3%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) b)))))
25.8%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
31.4%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (log.f64 b))))
11.7%
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a))))
15.6%
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (/.f64 b (*.f64 a a)) (/.f64 b a))))
17.8%
(-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (log.f64 b))))
12.5%
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
3.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)))
15.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)))
12.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -1 binary64)))))
51.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
31.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
26.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)))
34.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
31.5%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b c))) a)
36.3%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) a) (/.f64 #s(literal 2 binary64) (/.f64 b c)))
36.3%
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
34.7%
(neg.f64 (/.f64 b a))
18.8%
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
20.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
Compiler

Compiled 2566 to 1193 computations (53.5% saved)

regimes151.0ms (1.1%)

Counts
97 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b c) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 c b) a) a)
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) a) b)
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) a) (/.f64 #s(literal 2 binary64) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b c))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) a) a))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 a c) b) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b)))
(/.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 (neg.f64 (/.f64 (*.f64 b b) a)) a) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (/.f64 b (*.f64 a a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)))
(/.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 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 (/.f64 b a) b) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) (/.f64 (/.f64 b (/.f64 a b)) a)) b) (*.f64 a a))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 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 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a) #s(literal -1 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 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a))
(/.f64 (/.f64 #s(literal 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 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 b a) b) a) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a)) #s(literal 2 binary64)))) (/.f64 b a))
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 a #s(literal -2 binary64)))
(/.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 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.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)))))))
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 a a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b)))) (*.f64 a a))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (log.f64 b))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) (*.f64 (log.f64 a) #s(literal 2 binary64))))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b)))))) (/.f64 b a))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

43.0ms
c
37.0ms
a
34.0ms
b
30.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
56.0%3a
85.8%3b
51.8%1c
74.8%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes129.0ms (0.9%)

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

1 calls:

111.0ms
b
Results
AccuracySegmentsBranch
85.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Counts
69 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b c) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 c b) a) a)
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) a) b)
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) a) (/.f64 #s(literal 2 binary64) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b c))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) a) a))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 a c) b) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b)))
(/.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 (neg.f64 (/.f64 (*.f64 b b) a)) a) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (/.f64 b (*.f64 a a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)))
(/.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 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 (/.f64 b a) b) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) (/.f64 (/.f64 b (/.f64 a b)) a)) b) (*.f64 a a))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 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 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

25.0ms
b
Results
AccuracySegmentsBranch
85.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Counts
68 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b c) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 c b) a) a)
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) a) b)
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) a) (/.f64 #s(literal 2 binary64) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b c))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) a) a))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 a c) b) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b)))
(/.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 (neg.f64 (/.f64 (*.f64 b b) a)) a) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (/.f64 b (*.f64 a a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)))
(/.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 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 (/.f64 b a) b) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) (/.f64 (/.f64 b (/.f64 a b)) a)) b) (*.f64 a a))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 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 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a) #s(literal -1 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
81.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts
64 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b c) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 c b) a) a)
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) a) b)
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) a) (/.f64 #s(literal 2 binary64) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b c))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) a) a))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 a c) b) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b)))
(/.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 (neg.f64 (/.f64 (*.f64 b b) a)) a) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (/.f64 b (*.f64 a a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)))
(/.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 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 (/.f64 b a) b) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) (/.f64 (/.f64 b (/.f64 a b)) a)) b) (*.f64 a a))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 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
81.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts
63 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b c) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 c b) a) a)
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (*.f64 a c) a) b)
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) a) (/.f64 #s(literal 2 binary64) (/.f64 b c)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b c))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 c b)) a) a))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b c)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 a c) b) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b)))
(/.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 (neg.f64 (/.f64 (*.f64 b b) a)) a) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (/.f64 #s(literal -1 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (/.f64 b (*.f64 a a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (/.f64 #s(literal 0 binary64) c)) (neg.f64 c)))
(/.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 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 (*.f64 (/.f64 b a) b) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (*.f64 (+.f64 b (/.f64 (*.f64 a c) b)) (-.f64 (/.f64 (*.f64 a c) b) b)))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) a) b) (/.f64 (/.f64 b (/.f64 a b)) a)) b) (*.f64 a a))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

18.0ms
b
Results
AccuracySegmentsBranch
68.9%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(neg.f64 (/.f64 b a))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
68.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

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

3 calls:

2.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
34.7%1c
34.7%1a
44.8%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.6b remaining (-1.1%)

Threshold costs -0.6b (-1.1%)

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
c
1.0ms
a
Results
AccuracySegmentsBranch
12.8%1c
12.8%1a
12.8%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch60.0ms (0.4%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
11.0ms
6.269343792555313e+129
2.130645029697055e+135
35.0ms
-5.811981876136578e-127
-1.898769347431823e-132
Results
19.0ms190×0valid
10.0ms70×0invalid
6.0ms27×1valid
2.0ms2valid
Compiler

Compiled 442 to 313 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (44% of total)
ival-div: 3.0ms (14.7% of total)
ival-sub: 3.0ms (14.7% of total)
ival-sqrt: 3.0ms (14.7% of total)
ival-neg: 2.0ms (9.8% of total)
backward-pass: 1.0ms (4.9% of total)
const: 1.0ms (4.9% of total)

bsearch69.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
6.269343792555313e+129
2.130645029697055e+135
37.0ms
-5.811981876136578e-127
-1.898769347431823e-132
Results
25.0ms256×0valid
10.0ms18×1valid
5.0ms53×0invalid
4.0ms14×2valid
Compiler

Compiled 566 to 397 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sub: 10.0ms (33.4% of total)
ival-mult: 10.0ms (33.4% of total)
ival-div: 3.0ms (10% of total)
ival-sqrt: 3.0ms (10% of total)
ival-neg: 2.0ms (6.7% of total)
backward-pass: 1.0ms (3.3% of total)
const: 1.0ms (3.3% of total)

bsearch67.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
6.269343792555313e+129
2.130645029697055e+135
35.0ms
-5.811981876136578e-127
-1.898769347431823e-132
Results
32.0ms256×0valid
10.0ms24×1valid
5.0ms57×0invalid
3.0ms2valid
Compiler

Compiled 566 to 397 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 10.0ms (31.8% of total)
ival-mult: 10.0ms (31.8% of total)
ival-sub: 4.0ms (12.7% of total)
ival-sqrt: 3.0ms (9.5% of total)
ival-neg: 2.0ms (6.4% of total)
backward-pass: 1.0ms (3.2% of total)
const: 1.0ms (3.2% of total)

bsearch66.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
7.019144568405877e-80
2.6965156003132692e-77
33.0ms
-5.811981876136578e-127
-1.898769347431823e-132
Results
27.0ms239×0valid
15.0ms80×0invalid
6.0ms29×1valid
1.0ms2valid
Compiler

Compiled 467 to 342 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 15.0ms (53.2% of total)
ival-sub: 4.0ms (14.2% of total)
ival-div: 3.0ms (10.6% of total)
ival-sqrt: 3.0ms (10.6% of total)
ival-neg: 2.0ms (7.1% of total)
backward-pass: 1.0ms (3.5% of total)
const: 1.0ms (3.5% of total)

bsearch91.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
7.019144568405877e-80
2.6965156003132692e-77
56.0ms
-5.811981876136578e-127
-1.898769347431823e-132
Results
49.0ms231×0valid
10.0ms104×0invalid
6.0ms28×1valid
4.0ms13×2valid
Compiler

Compiled 467 to 342 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sub: 26.0ms (49.3% of total)
ival-mult: 12.0ms (22.7% of total)
ival-neg: 7.0ms (13.3% of total)
ival-div: 3.0ms (5.7% of total)
ival-sqrt: 3.0ms (5.7% of total)
backward-pass: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
-3.307109634800875e-304
1.5524461520450378e-304
Results
14.0ms144×0valid
11.0ms73×0invalid
Compiler

Compiled 206 to 145 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (59.3% of total)
ival-sub: 2.0ms (11.9% of total)
ival-div: 2.0ms (11.9% of total)
ival-sqrt: 2.0ms (11.9% of total)
ival-neg: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-1.800952789831713e-299
-6.267136093275116e-301
Results
11.0ms112×0valid
10.0ms69×0invalid
Compiler

Compiled 145 to 110 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (35.3% of total)
ival-sqrt: 5.0ms (35.3% of total)
ival-sub: 2.0ms (14.1% of total)
ival-div: 1.0ms (7.1% of total)
ival-neg: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-2.458280296485834e-303
-3.307109634800875e-304
Results
10.0ms96×0valid
5.0ms56×0invalid
Compiler

Compiled 116 to 91 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (44.4% of total)
ival-sub: 1.0ms (11.1% of total)
ival-div: 1.0ms (11.1% of total)
ival-sqrt: 1.0ms (11.1% of total)
ival-neg: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067208
186208
298208
3106208
4110208
5111208
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -4511902201628583/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 820000000000000068762529266155958537195240890863673954461330853365593453513687732304572555487563831401093317061377266436123148278562816 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3219303192513367/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 3389627864620585/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 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 -6828824953816233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6362070761287867/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (/.f64 #s(literal 0 binary64) a) (neg.f64 (/.f64 b a)))
(/.f64 #s(literal 0 binary64) a)
Outputs
(if (<=.f64 b #s(literal -4511902201628583/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4511902201628583/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 820000000000000068762529266155958537195240890863673954461330853365593453513687732304572555487563831401093317061377266436123148278562816 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 820000000000000068762529266155958537195240890863673954461330853365593453513687732304572555487563831401093317061377266436123148278562816 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3219303192513367/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 3389627864620585/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 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 -3219303192513367/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 3389627864620585/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 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 -6828824953816233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6362070761287867/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 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 -6828824953816233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 6362070761287867/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (/.f64 #s(literal 0 binary64) a) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (/.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 #s(literal 0 binary64) a)

soundness2.8s (20.5%)

Rules
9002×*-lowering-*.f32
9002×*-lowering-*.f64
7842×*-lowering-*.f32
7842×*-lowering-*.f64
6082×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
07386823
125036220
084356220
08517530
129957003
090347003
05062937
117082730
263342677
080522677
01343
16039
250439
3639739
0803739
032158
1194150
21792147
08294147
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
Compiler

Compiled 636 to 378 computations (40.6% saved)

preprocess73.0ms (0.5%)

Compiler

Compiled 570 to 206 computations (63.9% saved)

end0.0ms (0%)

Profiling

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