quadp (p42, positive)

Time bar (total: 12.2s)

analyze219.0ms (1.8%)

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: 112.0ms
ival-mult: 41.0ms (36.7% of total)
ival-div: 28.0ms (25.1% of total)
ival-sub: 13.0ms (11.6% of total)
ival-sqrt: 11.0ms (9.8% of total)
ival-neg: 9.0ms (8.1% of total)
ival-add: 7.0ms (6.3% of total)
const: 3.0ms (2.7% of total)
backward-pass: 1.0ms (0.9% of total)

sample1.9s (15.4%)

Results
649.0ms5600×0valid
595.0ms1860×2valid
162.0ms796×1valid
86.0ms910×0invalid
Precisions
Click to see histograms. Total time spent on operations: 992.0ms
ival-mult: 359.0ms (36.2% of total)
ival-neg: 160.0ms (16.1% of total)
ival-sqrt: 118.0ms (11.9% of total)
ival-div: 107.0ms (10.8% of total)
backward-pass: 80.0ms (8.1% of total)
ival-add: 77.0ms (7.8% of total)
ival-sub: 70.0ms (7.1% of total)
const: 21.0ms (2.1% of total)
Bogosity

preprocess191.0ms (1.6%)

Algorithm
egg-herbie
Rules
2278×fnmadd-define
1716×sum5-define
1676×div-sub
1624×fma-define
1552×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060165
1187150
2489140
31494140
44595140
01416
13515
27014
317014
428814
549314
6101414
7225514
8508414
9767914
0812714
Stop Event
iter limit
node limit
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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.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))
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a -2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2))
(/ (+ (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (- (sqrt (fma b (* c -4) (square a))) a) (* b 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(/ (- (sqrt (fma b (* a -4) (square c))) c) (* a 2))

explain205.0ms (1.7%)

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))))
622(-3.593301547516867e+185 2.828172685826068e+98 488940387.8814489)0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
120-1(-5.963086974907662e-296 1.387942360004812e+40 -2.2466573402360554e+23)(/.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
74.0ms346×0valid
56.0ms108×2valid
20.0ms58×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 23.0ms (34.9% of total)
ival-div: 10.0ms (15.2% of total)
ival-sub: 8.0ms (12.1% of total)
backward-pass: 8.0ms (12.1% of total)
ival-sqrt: 7.0ms (10.6% of total)
ival-neg: 5.0ms (7.6% of total)
ival-add: 4.0ms (6.1% 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
51.2%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify155.0ms (1.3%)

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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
Rules
2146×fnmadd-define
1564×fma-define
1456×fnmsub-define
1296×fmm-def
1262×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
12857
25657
38657
414757
524657
640957
782357
8195557
9440157
10643657
11725257
0806557
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
a
(* c -4)
c
-4
(* a 2)
2
Outputs
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize146.0ms (1.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy95.7%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
accuracy77.4%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
91.0ms54×2valid
29.0ms173×0valid
10.0ms29×1valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 27.0ms (50.5% of total)
ival-mult: 10.0ms (18.7% of total)
ival-add: 6.0ms (11.2% of total)
backward-pass: 4.0ms (7.5% of total)
ival-sqrt: 3.0ms (5.6% of total)
ival-sub: 2.0ms (3.7% of total)
const: 1.0ms (1.9% of total)

series20.0ms (0.2%)

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

36 calls:

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

rewrite309.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
4744×*-lowering-*.f32
4744×*-lowering-*.f64
3218×/-lowering-/.f32
3218×/-lowering-/.f64
1202×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
16339
253939
3759039
0808839
Stop Event
iter limit
node limit
Counts
4 → 382
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
Outputs
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 (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 b (*.f64 a #s(literal -2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (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 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (+.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 (*.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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (/.f64 (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 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a 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 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a 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)))))))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) 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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (-.f64 (*.f64 (/.f64 (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 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.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 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
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(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c)))))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 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 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a (*.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 a (*.f64 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 a (*.f64 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 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c))))) (-.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)))))))

simplify521.0ms (4.3%)

Algorithm
egg-herbie
Rules
5864×*-lowering-*.f32
5864×*-lowering-*.f64
2358×+-lowering-+.f64
2358×+-lowering-+.f32
1600×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05433071
118862859
271322847
080012847
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (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 b (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) c)) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 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 #s(literal -4 binary64) (*.f64 c 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))
(* -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 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))

eval61.0ms (0.5%)

Compiler

Compiled 21444 to 1961 computations (90.9% saved)

prune138.0ms (1.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New50125526
Fresh000
Picked101
Done000
Total50225527
Accuracy
92.0%
Counts
527 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))) (*.f64 a #s(literal 2 binary64)))
27.4%
(/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
50.7%
(/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64)))
27.4%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
10.0%
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
33.6%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
10.1%
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
36.4%
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
27.3%
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
31.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
27.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
24.8%
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
22.1%
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
36.4%
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
30.3%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
36.7%
(/.f64 b (neg.f64 a))
51.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
51.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a))
27.0%
(-.f64 (/.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 (*.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))))
25.5%
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
34.5%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
38.5%
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
51.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
35.9%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
Compiler

Compiled 1642 to 720 computations (56.2% saved)

simplify180.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))
cost-diff0
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a)
cost-diff256
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64))))
cost-diff256
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
cost-diff0
(*.f64 b b)
cost-diff0
(-.f64 (sqrt.f64 (*.f64 b b)) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
cost-diff128
(sqrt.f64 (*.f64 b b))
cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))
cost-diff0
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
cost-diff128
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))
cost-diff128
(*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))))
cost-diff-64
(neg.f64 a)
cost-diff0
(/.f64 b (neg.f64 a))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
Rules
2596×*-lowering-*.f32
2596×*-lowering-*.f64
1584×fma-lowering-fma.f32
1584×fma-lowering-fma.f64
1552×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037288
1105266
2304264
3844262
42603260
56192260
08057260
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
1/2
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
a
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
(* c -4)
c
-4
(/ b (neg a))
b
(neg a)
a
(/ (* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))) (* a 2))
(* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b))))
b
(* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))
-1
(+ 2 (/ (* a (* (/ c b) -2)) b))
2
(/ (* a (* (/ c b) -2)) b)
(* a (* (/ c b) -2))
a
(* (/ c b) -2)
(/ c b)
c
-2
(* a 2)
(/ (- (sqrt (* b b)) b) (* a 2))
(- (sqrt (* b b)) b)
(sqrt (* b b))
(* b b)
b
(* a 2)
a
2
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2)))
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a)
(/ (sqrt (+ (* b b) (* a (* c -4)))) 2)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
a
(* c -4)
c
-4
2
(* a (/ b 2))
(/ b 2)
(* a a)
Outputs
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) a)
1/2
#s(literal 1/2 binary64)
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
a
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (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)
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)
(/ b (neg a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
b
(neg a)
(-.f64 #s(literal 0 binary64) a)
a
(/ (* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))) (* a 2))
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 b #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b))))
(+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 b #s(literal -2 binary64)))
b
(* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))
(-.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b))
-1
#s(literal -1 binary64)
(+ 2 (/ (* a (* (/ c b) -2)) b))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b))
2
#s(literal 2 binary64)
(/ (* a (* (/ c b) -2)) b)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b)
(* a (* (/ c b) -2))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
a
(* (/ c b) -2)
(/.f64 (*.f64 c #s(literal -2 binary64)) b)
(/ c b)
(/.f64 c b)
c
-2
#s(literal -2 binary64)
(* a 2)
(*.f64 a #s(literal 2 binary64))
(/ (- (sqrt (* b b)) b) (* a 2))
(/.f64 (-.f64 (fabs.f64 b) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (* b b)) b)
(-.f64 (fabs.f64 b) b)
(sqrt (* b b))
(fabs.f64 b)
(* b b)
(*.f64 b b)
b
(* a 2)
(*.f64 a #s(literal 2 binary64))
a
2
#s(literal 2 binary64)
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) a)
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2)))
(*.f64 (/.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a)
(/.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 2 binary64))
(/ (sqrt (+ (* b b) (* a (* c -4)))) 2)
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64))
(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)
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)
2
#s(literal 2 binary64)
(* a (/ b 2))
(/.f64 (*.f64 a b) #s(literal 2 binary64))
(/ b 2)
(/.f64 b #s(literal 2 binary64))
(* a a)
(*.f64 a a)

localize358.0ms (2.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy81.3%
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64))))
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
accuracy54.8%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
accuracy100.0%
(-.f64 (sqrt.f64 (*.f64 b b)) b)
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 a #s(literal 2 binary64))
accuracy54.1%
(sqrt.f64 (*.f64 b b))
accuracy97.3%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)
accuracy94.4%
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
accuracy93.0%
(*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))))
accuracy91.2%
(*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))
accuracy100.0%
(/.f64 b (neg.f64 a))
accuracy100.0%
(neg.f64 a)
accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
accuracy96.0%
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
accuracy77.4%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
113.0ms47×2valid
100.0ms148×0valid
64.0ms54×1valid
16.0ms3valid
Compiler

Compiled 325 to 38 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-div: 50.0ms (37.3% of total)
ival-mult: 28.0ms (20.9% of total)
ival-sub: 21.0ms (15.7% of total)
backward-pass: 18.0ms (13.4% of total)
ival-sqrt: 10.0ms (7.5% of total)
ival-add: 4.0ms (3% of total)
ival-neg: 2.0ms (1.5% of total)
const: 1.0ms (0.7% of total)

series70.0ms (0.6%)

Counts
22 → 648
Calls
Call 1
Inputs
#<alt (/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))>
#<alt (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))>
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (/ b (neg a))>
#<alt (neg a)>
#<alt (* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b))))>
#<alt (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))>
#<alt (/ (* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))) (* a 2))>
#<alt (+ 2 (/ (* a (* (/ c b) -2)) b))>
#<alt (sqrt (* b b))>
#<alt (/ (- (sqrt (* b b)) b) (* a 2))>
#<alt (- (sqrt (* b b)) b)>
#<alt (* b b)>
#<alt (/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))>
#<alt (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2)))>
#<alt (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a)>
#<alt (/ (sqrt (+ (* b b) (* a (* c -4)))) 2)>
#<alt (* a (* (/ c b) -2))>
#<alt (/ (* a (* (/ c b) -2)) b)>
#<alt (* a 2)>
#<alt (+ (* b b) (* a (* c -4)))>
Outputs
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1/2 (/ b c))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))>
#<alt (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (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)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))>
#<alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))>
#<alt (+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (* -1/2 (/ b c))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))>
#<alt (* -1/2 (/ a b))>
#<alt (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))>
#<alt (* -1/2 (/ b c))>
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)>
#<alt (/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (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)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 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)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<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>
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#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
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#<alt (* -1 b)>
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#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
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#<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)))>
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#<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 (* -1 (/ b a))>
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#<alt (* -1 a)>
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#<alt (* -1 a)>
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#<alt (* -1 a)>
#<alt (* -1 a)>
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#<alt (/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)>
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#<alt (* -2 b)>
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#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* -2 b)>
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#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -2 b)>
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#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))>
#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))>
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#<alt (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))>
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#<alt (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))>
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#<alt (* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))>
#<alt (* -2 b)>
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#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))>
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#<alt -2>
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#<alt (- (* 2 (/ (* a c) (pow b 2))) 2)>
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#<alt (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
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#<alt (* -1 (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt -2>
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#<alt -2>
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#<alt -2>
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#<alt (/ c b)>
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#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
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#<alt (/ c b)>
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#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
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#<alt (+ (* -1 (/ b a)) (/ c b))>
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#<alt (+ (* -1 (/ b a)) (/ c b))>
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#<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>
#<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)))>
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#<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>
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#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt 2>
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#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt (* -1 b)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
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#<alt 0>
#<alt (* -1 (/ b a))>
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#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt 0>
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#<alt 0>
#<alt 0>
#<alt (* -2 b)>
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#<alt (* -2 b)>
#<alt (pow b 2)>
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#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ (* b (- (* 1/2 a) (* -1/2 a))) (pow a 2)))>
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#<alt (* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1/2 a)))) (/ -1/2 a))))>
#<alt (* -1 (/ c b))>
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#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
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#<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

162 calls:

TimeVariablePointExpression
7.0ms
b
@inf
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))
3.0ms
b
@0
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
3.0ms
c
@0
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
2.0ms
a
@-inf
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))
1.0ms
a
@inf
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))

rewrite344.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3444×*-lowering-*.f32
3444×*-lowering-*.f64
2882×/-lowering-/.f32
2882×/-lowering-/.f64
1932×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037215
1240191
22000185
08324185
Stop Event
iter limit
node limit
Counts
22 → 768
Calls
Call 1
Inputs
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(/ b (neg a))
(neg a)
(* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b))))
(* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))
(/ (* b (* -1 (+ 2 (/ (* a (* (/ c b) -2)) b)))) (* a 2))
(+ 2 (/ (* a (* (/ c b) -2)) b))
(sqrt (* b b))
(/ (- (sqrt (* b b)) b) (* a 2))
(- (sqrt (* b b)) b)
(* b b)
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2)))
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a)
(/ (sqrt (+ (* b b) (* a (* c -4)))) 2)
(* a (* (/ c b) -2))
(/ (* a (* (/ c b) -2)) b)
(* a 2)
(+ (* b b) (* a (* c -4)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a)
(pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
(/.f64 a (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal 1 binary64)))
(/.f64 (*.f64 a #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 #s(literal 0 binary64) a))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 #s(literal 0 binary64) a))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a))))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 a (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))))
(*.f64 (/.f64 a (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))
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(/.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 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 1 binary64)))

simplify425.0ms (3.5%)

Algorithm
egg-herbie
Rules
6932×*-lowering-*.f32
6932×*-lowering-*.f64
4044×+-lowering-+.f64
4044×+-lowering-+.f32
1748×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0120510447
145049703
087489703
Stop Event
iter limit
node limit
Counts
648 → 648
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -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)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (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)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 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)))))
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -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))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) 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)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (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)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) 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 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 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)))))))))) (+ (* -1/8 (* (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))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (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))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* 2 (/ (* a c) b))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* 2 (/ (* a c) b))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* 2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
-2
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 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 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 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 (pow b 2)) (* 2 (* a c))) (pow b 2))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) (pow b 2))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) (pow b 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)
(/ 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
(+ 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))))
b
b
b
b
b
b
b
b
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
0
0
0
0
0
0
0
0
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ (* b (- (* 1/2 a) (* -1/2 a))) (pow a 2)))
(* -1 (* b (- (+ (* -1 (/ c (pow b 2))) (/ 1/2 a)) (/ -1/2 a))))
(* -1 (* b (- (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1/2 a))) (/ -1/2 a))))
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1/2 a)))) (/ -1/2 a))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) (* 1/2 a))))
(* -1 (/ (* (pow a 2) c) b))
(/ (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)
(* -1 (* b (- (* 1/2 a) (* -1/2 a))))
(* -1 (* b (- (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) (* -1/2 a))))
(* -1 (* b (- (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))) (* -1/2 a))))
(* -1 (* b (- (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))) (* -1/2 a))))
(* -1 (/ (* (pow a 2) c) b))
(* (pow a 2) (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a))))
(* (pow a 2) (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 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 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1/2 b)) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))))
(* -1 (/ (* (pow a 2) c) b))
(* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b))))
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3)))))))
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -1 (/ (pow a 3) (pow b 3))) (* c (+ (* -2 (/ (pow a 4) (pow b 5))) (* -1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b))))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* -1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (* 1/2 (/ (* a b) c))))
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) (* 1/2 (/ (* a b) c))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (* a b))
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))
(* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))))
(* -1/2 (* a b))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))
(* 1/2 (* a b))
(* a (+ (* -1 (/ (* a c) b)) (* 1/2 b)))
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(* 1/2 (* a b))
(+ (* -1 (/ (* (pow a 2) c) b)) (* 1/2 (* a b)))
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b)))))
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 b)
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1/2 b)
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) (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)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -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 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.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))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.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 -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/128 binary64) (*.f64 (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)))))) a)) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
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(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 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 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))

eval228.0ms (1.9%)

Compiler

Compiled 44212 to 4828 computations (89.1% saved)

prune224.0ms (1.8%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1600261626
Fresh13720
Picked235
Done000
Total1615361651
Accuracy
92.2%
Counts
1651 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))) (*.f64 a #s(literal 2 binary64)))
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
50.7%
(/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64)))
20.5%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
27.3%
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
31.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
24.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
36.2%
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
27.4%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))
23.1%
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
9.4%
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
30.3%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
9.5%
(/.f64 c b)
12.1%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
19.3%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
36.7%
(/.f64 b (neg.f64 a))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))))
34.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
34.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
27.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
51.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
31.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
34.9%
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
32.7%
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
51.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a))
34.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
36.5%
(-.f64 (/.f64 c b) (/.f64 b a))
34.5%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
38.5%
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
51.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
36.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
36.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
30.1%
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
18.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b)) #s(literal -1 binary64)))
9.8%
#s(literal 0 binary64)
Compiler

Compiled 1671 to 793 computations (52.5% saved)

simplify180.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a)
cost-diff0
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))
cost-diff0
(/.f64 b a)
cost-diff0
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
cost-diff256
(*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))
cost-diff0
(/.f64 b (*.f64 c a))
cost-diff0
(/.f64 #s(literal 1 binary64) b)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))
cost-diff256
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
Rules
2662×*-lowering-*.f32
2662×*-lowering-*.f64
2150×fma-lowering-fma.f32
2150×fma-lowering-fma.f64
1638×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033254
178239
2186236
3566236
41779232
53059227
65472227
77839227
08363227
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* (* a -4) c))) b))
(/ 1/2 a)
1/2
a
(- (sqrt (+ (* b b) (* (* a -4) c))) b)
(sqrt (+ (* b b) (* (* a -4) c)))
(+ (* b b) (* (* a -4) c))
(* b b)
b
(* (* a -4) c)
(* a -4)
-4
c
0
(* c (- (/ 1 b) (/ b (* c a))))
c
(- (/ 1 b) (/ b (* c a)))
(/ 1 b)
1
b
(/ b (* c a))
(* c a)
a
(/ (* (/ b a) (+ -2 (/ (* (/ (* a c) b) 2) b))) 2)
(* (/ b a) (+ -2 (/ (* (/ (* a c) b) 2) b)))
(/ b a)
b
a
(+ -2 (/ (* (/ (* a c) b) 2) b))
-2
(/ (* (/ (* a c) b) 2) b)
(* (/ (* a c) b) 2)
(/ (* a c) b)
(* a c)
c
2
(/ 1/2 (* (/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b)) a))
1/2
(* (/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b)) a)
(/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b))
1
(- (sqrt (+ (* b b) (* (* a -4) c))) b)
(sqrt (+ (* b b) (* (* a -4) c)))
(+ (* b b) (* (* a -4) c))
(* b b)
b
(* (* a -4) c)
(* a -4)
a
-4
c
Outputs
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* (* a -4) c))) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(- (sqrt (+ (* b b) (* (* a -4) c))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(sqrt (+ (* b b) (* (* a -4) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* (* a -4) c))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
b
(* (* a -4) c)
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
c
0
#s(literal 0 binary64)
(* c (- (/ 1 b) (/ b (* c a))))
(-.f64 (/.f64 c b) (/.f64 b a))
c
(- (/ 1 b) (/ b (* c a)))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(/ b (* c a))
(/.f64 (/.f64 b a) c)
(* c a)
(*.f64 a c)
a
(/ (* (/ b a) (+ -2 (/ (* (/ (* a c) b) 2) b))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 c b))) #s(literal 2 binary64))
(* (/ b a) (+ -2 (/ (* (/ (* a c) b) 2) b)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 c b)))
(/ b a)
(/.f64 b a)
b
a
(+ -2 (/ (* (/ (* a c) b) 2) b))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 c b))) b))
-2
#s(literal -2 binary64)
(/ (* (/ (* a c) b) 2) b)
(/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 c b))) b)
(* (/ (* a c) b) 2)
(*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 c b)))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(* a c)
(*.f64 a c)
c
2
#s(literal 2 binary64)
(/ 1/2 (* (/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) a)
1/2
#s(literal 1/2 binary64)
(* (/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b)) a)
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
1
#s(literal 1 binary64)
(- (sqrt (+ (* b b) (* (* a -4) c))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(sqrt (+ (* b b) (* (* a -4) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* (* a -4) c))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
b
(* (* a -4) c)
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
c

localize331.0ms (2.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a))
accuracy95.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a)
accuracy77.4%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
accuracy100.0%
(*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))
accuracy97.3%
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)
accuracy94.3%
(/.f64 (*.f64 a c) b)
accuracy89.2%
(*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))
accuracy100.0%
(*.f64 c a)
accuracy94.0%
(/.f64 b (*.f64 c a))
accuracy90.6%
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
accuracy99.7%
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
accuracy95.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
accuracy77.4%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
accuracy59.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
Results
120.0ms174×0valid
92.0ms46×2valid
38.0ms32×1valid
7.0ms3valid
Compiler

Compiled 277 to 34 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 31.0ms (39.8% of total)
ival-mult: 24.0ms (30.8% of total)
backward-pass: 11.0ms (14.1% of total)
ival-add: 4.0ms (5.1% of total)
ival-sub: 4.0ms (5.1% of total)
ival-sqrt: 3.0ms (3.9% of total)
const: 1.0ms (1.3% of total)

series39.0ms (0.3%)

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

162 calls:

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

rewrite372.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
5148×*-lowering-*.f32
5148×*-lowering-*.f64
2992×/-lowering-/.f32
2992×/-lowering-/.f64
1882×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032182
1192170
21797170
08415170
Stop Event
iter limit
node limit
Counts
20 → 558
Calls
Call 1
Inputs
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* (* a -4) c))) b))
(/ 1/2 a)
(- (sqrt (+ (* b b) (* (* a -4) c))) b)
(sqrt (+ (* b b) (* (* a -4) c)))
(* c (- (/ 1 b) (/ b (* c a))))
(- (/ 1 b) (/ b (* c a)))
(/ 1 b)
(/ b (* c a))
(* (/ b a) (+ -2 (/ (* (/ (* a c) b) 2) b)))
(/ (* (/ b a) (+ -2 (/ (* (/ (* a c) b) 2) b))) 2)
(/ b a)
(+ -2 (/ (* (/ (* a c) b) 2) b))
(* (/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b)) a)
(/ 1/2 (* (/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b)) a))
(/ 1 (- (sqrt (+ (* b b) (* (* a -4) c))) b))
(+ (* b b) (* (* a -4) c))
(* c a)
(/ (* a c) b)
(/ (* (/ (* a c) b) 2) b)
(* (/ (* a c) b) 2)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b 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 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))
(/.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 #s(literal -4 binary64) c)))))
(/.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 #s(literal -4 binary64) c)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b 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 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b 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 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b 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 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)))
(*.f64 a c)
(*.f64 c a)
(*.f64 #s(literal 1 binary64) (*.f64 a c))
(*.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) c) a)
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a c))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 a c)))
(/.f64 (*.f64 a c) b)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a c))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a c) b) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 c b) a)
(*.f64 (/.f64 c b) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c)))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) (*.f64 b b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) b))
(/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) (/.f64 b (*.f64 a c)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 (/.f64 c b) (/.f64 #s(literal 2 binary64) b)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c)))) #s(literal -1 binary64)))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c)))
(/.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) b)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 b (*.f64 c (/.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 c b))

simplify459.0ms (3.8%)

Algorithm
egg-herbie
Rules
7118×*-lowering-*.f32
7118×*-lowering-*.f64
4418×+-lowering-+.f64
4418×+-lowering-+.f32
1530×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011059065
140058445
090798445
Stop Event
iter limit
node limit
Counts
648 → 648
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
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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)))))))
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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)))))))
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b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -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))
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(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
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(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
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(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
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(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
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(/ c b)
(+ (* -1 (/ b a)) (/ c b))
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(/ 1 b)
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) b)
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) b)
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) b)
(* -1 (/ b (* a c)))
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(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
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(* -1 (/ b (* a c)))
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(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
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(* -1 (/ b (* a c)))
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(/ (- (/ c b) (/ b a)) c)
(/ (- (/ c b) (/ b a)) c)
(/ 1 b)
(+ (* -1 (/ b (* a c))) (/ 1 b))
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(/ 1 b)
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(* -1 (/ b (* a c)))
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(/ (- (/ a b) (/ b c)) a)
(/ (- (/ a b) (/ b c)) a)
(/ 1 b)
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(/ 1 b)
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
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(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
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(/ b (* a c))
(/ b (* a c))
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(/ 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))
(* 2 (/ c b))
(/ (+ (* -2 (/ (pow b 2) a)) (* 2 c)) b)
(/ (+ (* -2 (/ (pow b 2) a)) (* 2 c)) b)
(/ (+ (* -2 (/ (pow b 2) a)) (* 2 c)) b)
(* -2 (/ b a))
(* b (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* b (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* b (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -2 (/ b a))
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -2 (/ b a))
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) a)
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) a)
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) a)
(* 2 (/ c b))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(* 2 (/ c b))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(* -2 (/ b a))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(+ (* -2 (/ b a)) (* 2 (/ c b)))
(* 2 (/ c b))
(* c (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b))))
(* c (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b))))
(* c (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b))))
(* 2 (/ c b))
(* -1 (* c (- (* 2 (/ b (* a c))) (* 2 (/ 1 b)))))
(* -1 (* c (- (* 2 (/ b (* a c))) (* 2 (/ 1 b)))))
(* -1 (* c (- (* 2 (/ b (* a c))) (* 2 (/ 1 b)))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (+ (* -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))))
(/ 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)
-2
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 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 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 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 (pow b 2)) (* 2 (* a c))) (pow b 2))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) (pow b 2))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) (pow b 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)
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 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)))))
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -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))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -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)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (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)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) 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)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (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)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) 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 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 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)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2)))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(* -1/2 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c)))))))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b))
(* -1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (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)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ (* a c) 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)
(* 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) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
Outputs
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) (*.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))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
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b
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eval277.0ms (2.3%)

Compiler

Compiled 34777 to 3577 computations (89.7% saved)

prune178.0ms (1.5%)

Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New140291411
Fresh42428
Picked325
Done033
Total1409381447
Accuracy
92.2%
Counts
1447 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))) (*.f64 a #s(literal 2 binary64)))
15.8%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
50.7%
(/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64)))
20.5%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
27.3%
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
31.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
24.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
36.2%
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
27.4%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))
20.7%
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
23.1%
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
30.3%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
9.5%
(/.f64 c b)
12.1%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
19.3%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
36.7%
(/.f64 b (neg.f64 a))
34.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
34.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
27.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
51.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
31.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
34.9%
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
32.7%
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
30.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
27.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
31.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
36.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
34.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
36.5%
(-.f64 (/.f64 c b) (/.f64 b a))
34.5%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
38.5%
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
31.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))
36.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
17.5%
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
9.5%
(*.f64 c (/.f64 #s(literal 1 binary64) b))
18.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b)) #s(literal -1 binary64)))
9.8%
#s(literal 0 binary64)
Compiler

Compiled 1815 to 836 computations (53.9% saved)

simplify201.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -4 binary64) (*.f64 c a))
cost-diff0
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
cost-diff0
(-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
cost-diff0
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
cost-diff256
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a)
cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 c a))
cost-diff0
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)
cost-diff128
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
cost-diff256
(/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
Rules
4320×*-lowering-*.f32
4320×*-lowering-*.f64
2366×/-lowering-/.f32
2366×/-lowering-/.f64
1506×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037243
185238
2176225
3428211
41141210
53537210
67288210
08287210
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/ 1 a)
1
a
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
2
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
(* c -4)
c
-4
(/ c b)
c
b
(/ 1/2 (/ a (/ (* -2 (* c a)) b)))
1/2
(/ a (/ (* -2 (* c a)) b))
a
(/ (* -2 (* c a)) b)
(* -2 (* c a))
-2
(* c a)
c
b
(/ 1/2 (* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a))
1/2
(* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a)
(/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a)
(+ (* -1/2 (/ b c)) (/ (* a 1/2) b))
(* -1/2 (/ b c))
-1/2
(/ b c)
b
c
(/ (* a 1/2) b)
(* a 1/2)
a
(/ (- (sqrt (* -4 (* c a))) b) (* a 2))
(- (sqrt (* -4 (* c a))) b)
(sqrt (* -4 (* c a)))
(* -4 (* c a))
-4
(* c a)
c
a
b
(* a 2)
2
Outputs
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(/ c b)
(/.f64 c b)
c
b
(/ 1/2 (/ a (/ (* -2 (* c a)) b)))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
1/2
#s(literal 1/2 binary64)
(/ a (/ (* -2 (* c a)) b))
(/.f64 b (*.f64 c #s(literal -2 binary64)))
a
(/ (* -2 (* c a)) b)
(/.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))
(* -2 (* c a))
(*.f64 #s(literal -2 binary64) (*.f64 a c))
-2
#s(literal -2 binary64)
(* c a)
(*.f64 a c)
c
b
(/ 1/2 (* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 b a))))
1/2
#s(literal 1/2 binary64)
(* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a)
(+.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a)
(/.f64 (+.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 b a))) a)
(+ (* -1/2 (/ b c)) (/ (* a 1/2) b))
(+.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(* -1/2 (/ b c))
(/.f64 b (*.f64 c #s(literal -2 binary64)))
-1/2
#s(literal -1/2 binary64)
(/ b c)
(/.f64 b c)
b
c
(/ (* a 1/2) b)
(/.f64 #s(literal 1/2 binary64) (/.f64 b a))
(* a 1/2)
(*.f64 a #s(literal 1/2 binary64))
a
(/ (- (sqrt (* -4 (* c a))) b) (* a 2))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (* -4 (* c a))) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)
(sqrt (* -4 (* c a)))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* c a))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(* c a)
(*.f64 a c)
c
a
b
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize260.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)
accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 c a))
accuracy99.8%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
accuracy86.4%
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
accuracy96.5%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a)
accuracy91.9%
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)
accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 c a))
accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
accuracy95.5%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)
accuracy91.2%
(/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))
accuracy100.0%
(/.f64 c b)
accuracy99.8%
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
accuracy98.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
accuracy88.5%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
accuracy75.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
105.0ms126×0valid
44.0ms92×0invalid
33.0ms23×2valid
16.0ms14×1valid
2.0ms3valid
Compiler

Compiled 251 to 38 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 41.0ms (50.8% of total)
ival-mult: 22.0ms (27.2% of total)
ival-sqrt: 5.0ms (6.2% of total)
backward-pass: 5.0ms (6.2% of total)
ival-add: 4.0ms (5% of total)
ival-sub: 3.0ms (3.7% of total)
const: 1.0ms (1.2% of total)

series57.0ms (0.5%)

Counts
18 → 576
Calls
Call 1
Inputs
#<alt (/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))>
#<alt (/ 1 a)>
#<alt (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))>
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)>
#<alt (/ c b)>
#<alt (/ a (/ (* -2 (* c a)) b))>
#<alt (/ 1/2 (/ a (/ (* -2 (* c a)) b)))>
#<alt (/ (* -2 (* c a)) b)>
#<alt (* -2 (* c a))>
#<alt (* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a)>
#<alt (/ 1/2 (* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a))>
#<alt (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a)>
#<alt (+ (* -1/2 (/ b c)) (/ (* a 1/2) b))>
#<alt (/ (- (sqrt (* -4 (* c a))) b) (* a 2))>
#<alt (- (sqrt (* -4 (* c a))) b)>
#<alt (sqrt (* -4 (* c a)))>
#<alt (* -4 (* c a))>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
Outputs
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
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#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)>
#<alt (* -1/2 (/ b c))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* -1/2 (/ b c))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1/2 (/ b c))>
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (* -1/2 (/ b c))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* 1/2 (/ a b))>
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))>
#<alt (* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a)))>
#<alt (* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (- (+ (* -1 c) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (- (+ (* -1 c) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ c (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (/ b a)>
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))>
#<alt (- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c))))>
#<alt (- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2))))))>
#<alt (/ b a)>
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))))>
#<alt (+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3)))))>
#<alt (/ b a)>
#<alt (/ (+ b (/ (pow b 3) (* a c))) a)>
#<alt (/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a)>
#<alt (/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a)>
#<alt (/ b a)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b)>
#<alt (* -1/2 (/ b (* a c)))>
#<alt (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* -1/2 (/ b (* a c)))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))>
#<alt (* -1/2 (/ b (* a c)))>
#<alt (/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)>
#<alt (/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)>
#<alt (/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (* -1/2 (/ b (* a c)))>
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)>
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)>
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)>
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)>
#<alt (* -1/2 (/ b c))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* -1/2 (/ b c))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1/2 (/ b c))>
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (* -1/2 (/ b c))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* 1/2 (/ a b))>
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 b)>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
Calls

144 calls:

TimeVariablePointExpression
14.0ms
b
@0
(/ a (/ (* -2 (* c a)) b))
4.0ms
b
@inf
(/ (- (sqrt (* -4 (* c a))) b) (* a 2))
1.0ms
c
@0
(/ (- (sqrt (* -4 (* c a))) b) (* a 2))
1.0ms
a
@inf
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
1.0ms
a
@-inf
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))

rewrite168.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1094×*-lowering-*.f32
1094×*-lowering-*.f64
1054×/-lowering-/.f32
1054×/-lowering-/.f64
258×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037169
1210164
01763164
Stop Event
iter limit
iter limit
node limit
Counts
18 → 306
Calls
Call 1
Inputs
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/ 1 a)
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(/ c b)
(/ a (/ (* -2 (* c a)) b))
(/ 1/2 (/ a (/ (* -2 (* c a)) b)))
(/ (* -2 (* c a)) b)
(* -2 (* c a))
(* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a)
(/ 1/2 (* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a))
(/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a)
(+ (* -1/2 (/ b c)) (/ (* a 1/2) b))
(/ (- (sqrt (* -4 (* c a))) b) (* a 2))
(- (sqrt (* -4 (* c a))) b)
(sqrt (* -4 (* c a)))
(* -4 (* c a))
(sqrt (+ (* b b) (* a (* c -4))))
Outputs
(+.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) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 #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 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(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 #s(literal 0 binary64) a))
(pow.f64 a #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 3 binary64))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(neg.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 1 binary64)))
(/.f64 c b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b c)))
(/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 c #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c)) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b c) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c b))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) c))
(neg.f64 (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 a (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 a b) (*.f64 c (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))
(/.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a c) b))
(pow.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 a b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 c (*.f64 a #s(literal -2 binary64)))))
(*.f64 a (/.f64 b (*.f64 c (*.f64 a #s(literal -2 binary64)))))
(*.f64 b (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(*.f64 (/.f64 b (*.f64 c (*.f64 a #s(literal -2 binary64)))) a)
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simplify332.0ms (2.7%)

Algorithm
egg-herbie
Rules
5960×*-lowering-*.f32
5960×*-lowering-*.f64
4474×+-lowering-+.f64
4474×+-lowering-+.f32
1490×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09947691
135687279
081097279
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1/2 (/ b c))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* 1/2 (/ a b))
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -1/2 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(* 1/2 (/ a b))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ a b))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ a b))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ a b))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(/ b a)
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a)))
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a)))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (/ (* a (pow c 2)) (pow b 2))) b)
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (- (+ c (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b)))
(/ b a)
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))
(- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c))))
(- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2))))))
(/ b a)
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))))
(+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3)))))
(/ b a)
(/ (+ b (/ (pow b 3) (* a c))) a)
(/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a)
(/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a)
(/ b a)
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) b)
(* -1/2 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* -1/2 (/ b (* a c)))
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)
(/ 1/2 b)
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ 1/2 b)
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* -1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)
(/ 1/2 b)
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ 1/2 b)
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* 1/2 (/ a b))
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -1/2 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(* 1/2 (/ a b))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ a b))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ a b))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ a b))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1/2 (/ b a))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) (*.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))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))

eval116.0ms (1%)

Compiler

Compiled 16921 to 2074 computations (87.7% saved)

prune119.0ms (1%)

Pruning

51 alts after pruning (43 fresh and 8 done)

PrunedKeptTotal
New86022882
Fresh72128
Picked235
Done055
Total86951920
Accuracy
96.6%
Counts
920 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))) (*.f64 a #s(literal 2 binary64)))
15.8%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
9.5%
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
27.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
30.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
25.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
36.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
30.9%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
50.7%
(/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64)))
20.5%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
16.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64)))
27.3%
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
31.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
24.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
36.2%
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
30.1%
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
20.7%
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
30.3%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
9.5%
(/.f64 c b)
12.1%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
19.3%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
36.7%
(/.f64 b (neg.f64 a))
2.5%
(/.f64 b a)
30.9%
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
30.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
34.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
34.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
29.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
51.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
31.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
26.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
19.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) b) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 c b)) a) a))
14.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
27.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
30.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
30.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
31.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
2.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
36.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
34.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
34.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
36.5%
(-.f64 (/.f64 c b) (/.f64 b a))
34.5%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
38.5%
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
9.5%
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
31.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
36.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
17.5%
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
18.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b)) #s(literal -1 binary64)))
9.8%
#s(literal 0 binary64)
Compiler

Compiled 2787 to 947 computations (66% saved)

regimes103.0ms (0.8%)

Counts
84 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) b) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 c b)) a) a))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))))
(/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.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 1 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.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 (*.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 (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))))) (*.f64 a #s(literal 2 binary64)))
Outputs
(/.f64 b (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
Calls

4 calls:

26.0ms
b
24.0ms
c
24.0ms
a
20.0ms
(/.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
58.4%4a
87.0%3b
53.6%2c
76.2%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)

regimes27.0ms (0.2%)

Counts
67 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) b) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 c b)) a) a))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
Outputs
(/.f64 b (neg.f64 a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
Calls

1 calls:

19.0ms
b
Results
AccuracySegmentsBranch
87.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

Counts
66 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) b) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 c b)) a) a))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
Outputs
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
Calls

1 calls:

20.0ms
b
Results
AccuracySegmentsBranch
86.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts
64 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) b) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 c b)) a) a))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
81.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts
61 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) b) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 c b)) a) a))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
81.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) b) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 c b)) a) a))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a c)) (/.f64 (*.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 b (*.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
68.8%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (*.f64 c (*.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
(/.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) c) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) a))
(/.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
68.8%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
68.7%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
68.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
Outputs
(/.f64 b (neg.f64 a))
#s(literal 0 binary64)
Calls

3 calls:

3.0ms
b
3.0ms
c
3.0ms
a
Results
AccuracySegmentsBranch
36.7%1c
36.7%1a
43.7%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Accuracy

Total -5.3b remaining (-9.2%)

Threshold costs -5.3b (-9.2%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

7.0ms
b
2.0ms
a
2.0ms
c
Results
AccuracySegmentsBranch
9.8%1a
9.8%1c
9.8%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
2.6965156003132692e-77
8.528296352239277e-76
19.0ms
-1.6193178822531966e+95
-5.590887793872695e+86
Results
21.0ms220×0valid
5.0ms16×2valid
4.0ms46×0invalid
4.0ms20×1valid
Compiler

Compiled 579 to 409 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42.4% of total)
ival-div: 3.0ms (14.1% of total)
ival-sqrt: 3.0ms (14.1% of total)
ival-sub: 2.0ms (9.4% of total)
ival-neg: 2.0ms (9.4% of total)
ival-add: 2.0ms (9.4% of total)
backward-pass: 1.0ms (4.7% of total)
const: 1.0ms (4.7% of total)

bsearch44.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.6965156003132692e-77
8.528296352239277e-76
15.0ms
-2.5206477135638875e+77
-1.1007978414981345e+77
Results
19.0ms149×0valid
6.0ms28×1valid
5.0ms15×2valid
3.0ms30×0invalid
Compiler

Compiled 467 to 329 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (41.2% of total)
ival-div: 2.0ms (11.8% of total)
ival-sqrt: 2.0ms (11.8% of total)
ival-add: 2.0ms (11.8% of total)
ival-sub: 1.0ms (5.9% of total)
backward-pass: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.6965156003132692e-77
8.528296352239277e-76
12.0ms
-2.5206477135638875e+77
-1.1007978414981345e+77
Results
15.0ms155×0valid
5.0ms25×1valid
4.0ms12×2valid
3.0ms34×0invalid
Compiler

Compiled 467 to 329 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (42.7% of total)
ival-div: 2.0ms (12.2% of total)
ival-sqrt: 2.0ms (12.2% of total)
ival-sub: 1.0ms (6.1% of total)
backward-pass: 1.0ms (6.1% of total)
ival-neg: 1.0ms (6.1% of total)
ival-add: 1.0ms (6.1% of total)
const: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
7.429131389289166e-133
9.610928994634176e-131
25.0ms
-5.974568926358241e+24
-1.5624113143293002e-12
Results
27.0ms255×0valid
5.0ms26×1valid
5.0ms49×0invalid
2.0ms2valid
Compiler

Compiled 596 to 424 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 12.0ms (48% of total)
ival-div: 3.0ms (12% of total)
ival-sqrt: 3.0ms (12% of total)
ival-sub: 2.0ms (8% of total)
ival-neg: 2.0ms (8% of total)
ival-add: 2.0ms (8% of total)
backward-pass: 1.0ms (4% of total)
const: 1.0ms (4% of total)

bsearch59.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
7.429131389289166e-133
9.610928994634176e-131
26.0ms
-5.974568926358241e+24
-1.5624113143293002e-12
Results
25.0ms264×0valid
7.0ms80×0invalid
3.0ms16×1valid
3.0ms2valid
Compiler

Compiled 596 to 424 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (42.6% of total)
ival-div: 3.0ms (12.8% of total)
ival-sqrt: 3.0ms (12.8% of total)
ival-sub: 2.0ms (8.5% of total)
ival-neg: 2.0ms (8.5% of total)
ival-add: 2.0ms (8.5% of total)
backward-pass: 1.0ms (4.3% of total)
const: 1.0ms (4.3% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-1.800952789831713e-299
-6.267136093275116e-301
Results
13.0ms112×0valid
7.0ms74×0invalid
Compiler

Compiled 264 to 180 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (53.3% of total)
ival-sub: 1.0ms (7.6% of total)
ival-div: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-sqrt: 1.0ms (7.6% of total)
ival-neg: 1.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-1.800952789831713e-299
-6.267136093275116e-301
Results
11.0ms112×0valid
6.0ms67×0invalid
Compiler

Compiled 222 to 152 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.9% of total)
ival-sub: 1.0ms (10% of total)
ival-div: 1.0ms (10% of total)
ival-add: 1.0ms (10% of total)
ival-sqrt: 1.0ms (10% of total)
ival-neg: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-3.307109634800875e-304
1.5524461520450378e-304
Results
15.0ms144×0valid
7.0ms72×0invalid
Compiler

Compiled 206 to 145 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (51.9% of total)
ival-div: 2.0ms (14.8% of total)
ival-sub: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
ival-sqrt: 1.0ms (7.4% of total)
ival-neg: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
1.2604462462772905e-285
6.219550303341454e-264
Results
17.0ms175×0valid
10.0ms107×0invalid
0.0ms1valid
Compiler

Compiled 213 to 162 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (43.5% of total)
ival-div: 2.0ms (12.4% of total)
ival-sqrt: 2.0ms (12.4% of total)
ival-add: 1.0ms (6.2% of total)
ival-sub: 1.0ms (6.2% of total)
ival-neg: 1.0ms (6.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-2.458280296485834e-303
-3.307109634800875e-304
Results
9.0ms96×0valid
5.0ms54×0invalid
Compiler

Compiled 104 to 85 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46.4% of total)
ival-sub: 1.0ms (11.6% of total)
ival-div: 1.0ms (11.6% of total)
ival-add: 1.0ms (11.6% of total)
ival-sqrt: 1.0ms (11.6% of total)
ival-neg: 1.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×*-commutative_binary64
22×+-commutative_binary64
16×sub-neg_binary64
10×neg-mul-1_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087324
1115324
2130324
3138324
4142324
5143324
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -71999999999999998491481812679933580334061719049023316318208326206577848949753679671250124800000 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 4562960586989249/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 3096294684028419/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 165509173077177/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -4842270319348757/1152921504606846976 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6553174556823331/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -5996272065288561/19342813113834066795298816 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1186264449120077/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 6857655085992111/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b #s(literal -71999999999999998491481812679933580334061719049023316318208326206577848949753679671250124800000 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 4562960586989249/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -71999999999999998491481812679933580334061719049023316318208326206577848949753679671250124800000 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 4562960586989249/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 3096294684028419/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 3096294684028419/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 165509173077177/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 165509173077177/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -4842270319348757/1152921504606846976 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6553174556823331/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -4842270319348757/1152921504606846976 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6553174556823331/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -5996272065288561/19342813113834066795298816 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1186264449120077/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -5996272065288561/19342813113834066795298816 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1186264449120077/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 6857655085992111/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 6857655085992111/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.6s (21.6%)

Rules
7118×*-lowering-*.f32
7118×*-lowering-*.f64
6932×*-lowering-*.f32
6932×*-lowering-*.f64
5864×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01343
16339
253939
3759039
0808839
037169
1210164
01763164
037215
1240191
22000185
08324185
05433071
118862859
271322847
080012847
01416
13515
27014
317014
428814
549314
6101414
7225514
8508414
9767914
0812714
0120510447
145049703
087489703
011059065
140058445
090798445
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1309 to 779 computations (40.5% saved)

preprocess93.0ms (0.8%)

Compiler

Compiled 924 to 256 computations (72.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...