The quadratic formula (r2)

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze178.0ms (1.9%)

Memory
32.9MiB live, 124.2MiB allocated; 14ms collecting garbage
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 19 to 16 computations (15.8% saved)

sample3.0s (31%)

Memory
31.3MiB live, 2 457.6MiB allocated; 1.3s collecting garbage
Samples
806.0ms5 552×0valid
614.0ms916×0invalid
368.0ms1 187×2valid
334.0ms1 340×1valid
76.0ms177×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 891.0ms (56.8% of total)
ival-sqrt: 181.0ms (11.5% of total)
ival-sub: 166.0ms (10.6% of total)
adjust: 137.0ms (8.7% of total)
ival-div: 102.0ms (6.5% of total)
ival-neg: 69.0ms (4.4% of total)
exact: 10.0ms (0.6% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain258.0ms (2.7%)

Memory
-20.3MiB live, 403.4MiB allocated; 60ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-1(-2.2816179909062457e-305 -2.848828649124841e-159 2.4866094963859004e-22)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
670-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
130-1(-5.159794992963358e-226 -4.220249409808259e+136 -8.475270073905275e+42)(/.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))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-(neg.f64 b)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue1030
(*.f64 b b)overflow90
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow15
(*.f64 a c)overflow15
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow103
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation670
/.f64(/.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))u/n120
(*.f64 b b)underflow46
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow25
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow35
(*.f64 a c)underflow35
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow8
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue80
(*.f64 b b)underflow46
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow35
(*.f64 a c)underflow35
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow8
Confusion
Predicted +Predicted -
+1370
-14105
Precision
0.9072847682119205
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-140105
Precision?
0.9072847682119205
Recall?
1.0
Freqs
test
numberfreq
0105
1112
239
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms96×2valid
31.0ms328×0valid
15.0ms82×1valid
2.0ms3valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 16.0ms (33.9% of total)
adjust: 8.0ms (16.9% of total)
ival-sub: 7.0ms (14.8% of total)
ival-div: 6.0ms (12.7% of total)
ival-sqrt: 6.0ms (12.7% of total)
ival-neg: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess70.0ms (0.7%)

Memory
25.0MiB live, 70.7MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056158
1164151
2414151
3836151
41096151
51233151
61312151
71326151
01417
02317
14317
29117
317017
425317
530417
631417
734217
837817
940517
040516
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.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))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(/.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 17 to 14 computations (17.6% saved)

simplify24.0ms (0.3%)

Memory
-39.0MiB live, 11.8MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
cost-diff0
(/.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))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14370
29170
317070
425370
530470
631470
734270
837870
940570
040566
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 (*.f64 c #s(literal 4 binary64)) a)
#s(literal 4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize55.0ms (0.6%)

Memory
10.5MiB live, 145.9MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.014003759768442016
(*.f64 #s(literal 4 binary64) (*.f64 a c))
accuracy3.117019830309242
(/.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))
accuracy15.254704283307888
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy26.022022526652844
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
18.0ms164×0valid
16.0ms48×2valid
8.0ms41×1valid
1.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 10.0ms (38.2% of total)
ival-sub: 4.0ms (15.3% of total)
adjust: 4.0ms (15.3% of total)
ival-div: 3.0ms (11.4% of total)
ival-sqrt: 3.0ms (11.4% of total)
ival-neg: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
15.5MiB live, 69.6MiB allocated; 8ms collecting garbage
Counts
6 → 100
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(*.f64 #s(literal 4 binary64) (*.f64 a c))
Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
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))))))))
(* 4 (* a c))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (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)))))
(* (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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 (* (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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 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 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 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)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* -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))))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
c
@0
((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
3.0ms
a
@inf
((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
3.0ms
c
@-inf
((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
3.0ms
b
@inf
((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))
3.0ms
c
@inf
((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))) (* 4 (* a c)))

simplify223.0ms (2.3%)

Memory
-9.2MiB live, 268.5MiB allocated; 58ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452728
117852707
272722707
080542568
Stop Event
iter limit
node limit
Counts
100 → 99
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
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))))))))
(* 4 (* a c))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (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)))))
(* (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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 (* (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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 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 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 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)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* -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
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 (-.f64 (/.f64 (*.f64 c a) b) b) #s(literal 2 binary64))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b)
(* 4 (* a c))
(*.f64 #s(literal 4 binary64) (*.f64 c a))
(* -4 (* a c))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
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(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) a)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) (neg.f64 b))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b) (*.f64 c a))) (neg.f64 b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b) (*.f64 c a)))) (neg.f64 b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b) (*.f64 c a)) #s(literal -2 binary64))) (neg.f64 b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -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))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))) (neg.f64 b))
(+ (* -1 (/ b a)) (/ c b))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))))) c)
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c)
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) 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)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(neg.f64 (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 c))) c))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) b) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite171.0ms (1.8%)

Memory
30.2MiB live, 212.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
02356
17356
249355
3605855
0817551
Stop Event
iter limit
node limit
iter limit
Counts
6 → 274
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(*.f64 #s(literal 4 binary64) (*.f64 a c))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
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(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(+.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))))
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(neg.f64 b)
(*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(*.f64 (*.f64 c #s(literal 4 binary64)) a)
(*.f64 (*.f64 a #s(literal 4 binary64)) c)
(*.f64 (*.f64 c a) #s(literal 4 binary64))
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 a (*.f64 c #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 c a))

eval66.0ms (0.7%)

Memory
-19.0MiB live, 127.4MiB allocated; 17ms collecting garbage
Compiler

Compiled 13 945 to 1 767 computations (87.3% saved)

prune14.0ms (0.1%)

Memory
-9.7MiB live, 37.0MiB allocated; 2ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New35913372
Fresh000
Picked101
Done000
Total36013373
Accuracy
92.8%
Counts
373 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
32.2%
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
28.2%
(/.f64 (fma.f64 b (/.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
28.5%
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
22.3%
(/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
33.9%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
23.9%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
48.5%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
29.1%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
32.9%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
32.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
33.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
Compiler

Compiled 674 to 432 computations (35.9% saved)

simplify111.0ms (1.2%)

Memory
25.1MiB live, 116.9MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
cost-diff2
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff7
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(/.f64 (*.f64 c c) b)
cost-diff0
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))
cost-diff0
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 c (neg.f64 b))
cost-diff0
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff0
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
cost-diff0
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041341
066335
1133335
2326320
31161312
44343312
08051312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
b
(/.f64 a b)
a
(neg.f64 b)
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(neg.f64 b)
b
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 c (neg.f64 b))))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 c (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
b
(/.f64 a b)
a
(neg.f64 b)
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) c) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))))
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(neg.f64 b)
b
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize228.0ms (2.4%)

Memory
-8.9MiB live, 383.0MiB allocated; 74ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy11.816750896942064
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy12.969990324476784
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
accuracy26.022022526652844
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy40.176451241267166
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy0.046875
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))
accuracy4.175563939564217
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
accuracy6.472503663864436
(/.f64 (*.f64 c c) b)
accuracy39.99463979360424
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
accuracy3.117019830309242
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy15.254704283307888
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
accuracy19.112057242924834
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
accuracy26.022022526652844
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
accuracy0.0
(/.f64 c (neg.f64 b))
accuracy0.0
(neg.f64 b)
accuracy39.98173910910803
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy0.00390625
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy3.117019830309242
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy15.254704283307888
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
accuracy26.022022526652844
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
Samples
75.0ms80×2valid
53.0ms77×1valid
48.0ms85×0valid
15.0ms14×3valid
Compiler

Compiled 325 to 37 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-div: 50.0ms (35% of total)
adjust: 36.0ms (25.2% of total)
ival-mult: 29.0ms (20.3% of total)
ival-sqrt: 11.0ms (7.7% of total)
ival-add: 8.0ms (5.6% of total)
ival-sub: 6.0ms (4.2% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series140.0ms (1.5%)

Memory
-8.7MiB live, 129.0MiB allocated; 15ms collecting garbage
Counts
19 → 235
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (*.f64 c c) b)
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
Outputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (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)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
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(* c (- (/ (pow b 2) c) (* 4 a)))
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(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Calls

9 calls:

TimeVariablePointExpression
47.0ms
a
@inf
((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (/ (* c c) b) (/ a b)) c) (neg b)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (* c c) b) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
40.0ms
c
@0
((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (/ (* c c) b) (/ a b)) c) (neg b)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (* c c) b) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
8.0ms
c
@inf
((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (/ (* c c) b) (/ a b)) c) (neg b)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (* c c) b) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms
a
@0
((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (/ (* c c) b) (/ a b)) c) (neg b)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (* c c) b) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms
c
@-inf
((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (/ (* c c) b) (/ a b)) c) (neg b)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (* c c) b) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- (* b b) (* 4 (* a c))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify183.0ms (1.9%)

Memory
40.7MiB live, 224.3MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013228989
147858080
085787700
Stop Event
iter limit
node limit
Counts
235 → 233
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (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)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
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(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
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(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
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(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ 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))))))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (+ 1 (/ (* a c) (pow b 2))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 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))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 a c) b) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 a c) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)
(+ (* -1 (pow b 2)) (pow b 2))
#s(literal 0 binary64)
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 c (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (*.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) a) (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 c (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (*.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 c (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (*.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal 1/8 binary64)))) a))) a (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) #s(literal 1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (*.f64 a a))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) b))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) a (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) b))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
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(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) b) (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (*.f64 b c)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c)))))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c)) (*.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c)))))) c) #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))

rewrite327.0ms (3.4%)

Memory
-69.3MiB live, 215.0MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041270
066264
1253264
21922264
08491264
Stop Event
iter limit
node limit
iter limit
Counts
19 → 699
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (*.f64 c c) b)
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
Outputs
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (/.f64 b a)) #s(literal -2 binary64))
(/.f64 (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 b) a))) #s(literal -4 binary64))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) a (*.f64 #s(literal -2 binary64) (/.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 b))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 a (/.f64 b a))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) a (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b a) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 b a) a (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) #s(literal -4 binary64))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b)))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))

eval208.0ms (2.2%)

Memory
18.1MiB live, 288.6MiB allocated; 50ms collecting garbage
Compiler

Compiled 56 722 to 5 086 computations (91% saved)

prune35.0ms (0.4%)

Memory
-10.9MiB live, 97.6MiB allocated; 9ms collecting garbage
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1 211131 224
Fresh448
Picked325
Done000
Total1 218191 237
Accuracy
92.9%
Counts
1 237 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
32.0%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
22.6%
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
28.2%
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
49.1%
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
48.5%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
33.9%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
29.1%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
31.4%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
27.1%
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 2 binary64)))
12.6%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
32.7%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) c) b) b) (/.f64 a b) (/.f64 c (neg.f64 b))))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
32.9%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
37.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
31.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
33.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
32.6%
#s(approx (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
Compiler

Compiled 1 067 to 681 computations (36.2% saved)

simplify139.0ms (1.5%)

Memory
4.1MiB live, 136.2MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))
cost-diff4
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
cost-diff5
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
cost-diff0
(*.f64 (/.f64 a b) c)
cost-diff0
(fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)
cost-diff0
(/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b))
cost-diff0
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
cost-diff0
(/.f64 (*.f64 a c) b)
cost-diff0
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
cost-diff0
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
cost-diff0
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
cost-diff2
(*.f64 #s(literal 0 binary64) b)
cost-diff2
(*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
cost-diff0
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
cost-diff0
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061417
098400
1194394
2493358
31841353
46866353
08538353
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
#s(literal -4 binary64)
(*.f64 a c)
a
c
#s(literal 0 binary64)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 c a)
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(*.f64 #s(literal 0 binary64) b)
#s(literal 0 binary64)
b
#s(literal 1/4 binary64)
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
#s(literal -2 binary64)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
a
c
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)
(*.f64 (/.f64 a b) c)
(/.f64 a b)
a
b
c
(/.f64 c b)
(neg.f64 b)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) a)
(*.f64 a b)
(*.f64 a (*.f64 #s(literal -2 binary64) a))
Outputs
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
#s(literal -4 binary64)
(*.f64 a c)
a
c
#s(literal 0 binary64)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
(*.f64 a c)
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 0 binary64) b)
#s(literal 0 binary64)
#s(literal 0 binary64)
b
#s(literal 1/4 binary64)
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a c)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a c))
#s(literal -2 binary64)
(/.f64 (*.f64 a c) b)
(*.f64 (/.f64 a b) c)
(*.f64 a c)
a
c
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 c (neg.f64 b))))
(/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b))
(*.f64 (fma.f64 (/.f64 c b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 c (neg.f64 b)))
(fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)
(fma.f64 (/.f64 c b) (*.f64 (/.f64 a b) c) c)
(*.f64 (/.f64 a b) c)
(/.f64 a b)
a
b
c
(/.f64 c b)
(neg.f64 b)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) a)
(*.f64 a b)
(*.f64 a (*.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 #s(literal -2 binary64) a) a)

localize266.0ms (2.8%)

Memory
6.2MiB live, 299.5MiB allocated; 54ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
accuracy21.36081557319238
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
accuracy26.022022526652844
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
accuracy27.15475741903851
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
accuracy0.046875
(/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b))
accuracy0.05859375
(fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)
accuracy5.7408869801504006
(*.f64 (/.f64 a b) c)
accuracy39.99463979360424
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
accuracy0.0078125
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
accuracy3.035012544911714
(/.f64 (*.f64 a c) b)
accuracy3.117019830309242
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
accuracy40.00520704294536
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
accuracy0.0
(*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
accuracy0.0
(*.f64 #s(literal 0 binary64) b)
accuracy55.916515069458775
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
accuracy3.117019830309242
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy11.816750896942064
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy12.969990324476784
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
accuracy26.022022526652844
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
Samples
79.0ms78×2valid
63.0ms74×1valid
45.0ms85×0valid
28.0ms19×3valid
Compiler

Compiled 382 to 52 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
adjust: 45.0ms (31.1% of total)
ival-mult: 38.0ms (26.3% of total)
ival-div: 30.0ms (20.7% of total)
ival-add: 12.0ms (8.3% of total)
ival-sqrt: 10.0ms (6.9% of total)
ival-sub: 7.0ms (4.8% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
5.9MiB live, 94.7MiB allocated; 9ms collecting garbage
Counts
22 → 270
Calls
Call 1
Inputs
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(*.f64 #s(literal 0 binary64) b)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
(/.f64 (*.f64 a c) b)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)
(*.f64 (/.f64 a b) c)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
Outputs
(* -4 (* a c))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(/ (* a c) b)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* 2 (* a b))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(* -1/2 b)
(+ (* -1/2 b) (/ (* a c) b))
(+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
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))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (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)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (sqrt (* (pow a 3) c)) (sqrt -4))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* (pow a 2) (+ (* -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)))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (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))))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
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(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))
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(* -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))))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
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(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
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(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(+ (* a b) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* b (+ a (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))))) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
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(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))))
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(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
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(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))))) 2))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* 2 a)))
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a))))
(* b (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a)))))
(* b (- (/ (* a c) (pow b 2)) 1/2))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2))
(* 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)))))))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ a (* -1 a))))
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -1 a)))))
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 a))))))
(* -1 (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 a)))))))
(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (/ c (pow b 2)))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(* 1/2 b)
(* -1 (* b (- (/ (* a c) (pow b 2)) 1/2)))
(* -1 (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2)))
(* -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))))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (+ 1 (/ (* a c) (pow b 2))))
(+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b)))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))))
(+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a 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))))))))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 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)))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 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))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (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 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
c
@-inf
((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* -2 (/ (* a c) b)) (/ (* a c) b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ a b) c) (/ c b)) c) (neg b)) (+ (* (* (/ a b) c) (/ c b)) c) (* (/ a b) c) (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* (* -4 a) c) (* b b)))
5.0ms
b
@0
((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* -2 (/ (* a c) b)) (/ (* a c) b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ a b) c) (/ c b)) c) (neg b)) (+ (* (* (/ a b) c) (/ c b)) c) (* (/ a b) c) (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* (* -4 a) c) (* b b)))
4.0ms
a
@-inf
((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* -2 (/ (* a c) b)) (/ (* a c) b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ a b) c) (/ c b)) c) (neg b)) (+ (* (* (/ a b) c) (/ c b)) c) (* (/ a b) c) (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* (* -4 a) c) (* b b)))
4.0ms
c
@inf
((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* -2 (/ (* a c) b)) (/ (* a c) b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ a b) c) (/ c b)) c) (neg b)) (+ (* (* (/ a b) c) (/ c b)) c) (* (/ a b) c) (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* (* -4 a) c) (* b b)))
4.0ms
a
@inf
((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* -2 (/ (* a c) b)) (/ (* a c) b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ a b) c) (/ c b)) c) (neg b)) (+ (* (* (/ a b) c) (/ c b)) c) (* (/ a b) c) (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* (* -4 a) c) (* b b)))

simplify256.0ms (2.7%)

Memory
29.1MiB live, 269.1MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148510150
154919966
081439485
Stop Event
iter limit
node limit
Counts
270 → 268
Calls
Call 1
Inputs
(* -4 (* a c))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(/ (* a c) b)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* 2 (* a b))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(* -1/2 b)
(+ (* -1/2 b) (/ (* a c) b))
(+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
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))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (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)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (sqrt (* (pow a 3) c)) (sqrt -4))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* (pow a 2) (+ (* -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)))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (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))))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))
(* -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))))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (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)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(+ (* a b) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* b (+ a (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))))) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* b (+ a (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -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))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(+ (* 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 (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
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(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
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(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* 2 a)))
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(* b (- (/ (* a c) (pow b 2)) 1/2))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
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(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ a (* -1 a))))
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(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 a))))))
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(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (/ c (pow b 2)))))
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(* 1/2 b)
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(* -1 b)
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(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
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(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
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(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (+ 1 (/ (* a c) (pow b 2))))
(+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b)))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))))
(+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a 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))))))))
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(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
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(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 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))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (+ (* -4 a) (/ (pow b 2) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (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 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
Outputs
(* -4 (* a c))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 c (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 b b)))) (*.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 c (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 b b)))) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b)))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) b) (*.f64 c c)) #s(literal 1/8 binary64)))) a (fma.f64 c (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 b b)))))) a (*.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(*.f64 (/.f64 #s(literal 1/2 binary64) c) (*.f64 b (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a))))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) b (fma.f64 (neg.f64 a) (fma.f64 c (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) b (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (/.f64 (fma.f64 c (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 b b)))) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b)))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) b) (*.f64 c c)) #s(literal 1/8 binary64))))) (fma.f64 c (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 b b))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(*.f64 #s(literal 0 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(fma.f64 #s(literal 0 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(* -2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.f64 c) b))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(* 2 (* a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a (*.f64 #s(literal 2 binary64) b)) a)
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (/ (* a c) b))
(fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 c a) b))
(+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(* 2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 b a) #s(literal -4 binary64)))) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 2 binary64))) a)
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(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))

rewrite406.0ms (4.2%)

Memory
-26.1MiB live, 487.6MiB allocated; 102ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061344
098327
1346321
22238318
09716313
Stop Event
iter limit
node limit
iter limit
Counts
22 → 2 930
Calls
Call 1
Inputs
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(*.f64 #s(literal 0 binary64) b)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
(/.f64 (*.f64 a c) b)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)
(*.f64 (/.f64 a b) c)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 #s(literal 4 binary64) a)) (*.f64 c #s(literal -4 binary64))) (/.f64 c a))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 #s(literal 4 binary64) a)) (*.f64 a #s(literal -4 binary64))) (/.f64 c c))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 #s(literal 4 binary64) a)) (*.f64 c a)) (/.f64 c #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 #s(literal 4 binary64) a)) c) (/.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 #s(literal 4 binary64) a)) a) (/.f64 c (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 #s(literal 4 binary64) a)) #s(literal -4 binary64)) (/.f64 c (*.f64 c a)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) #s(literal 4 binary64)) (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 c a) a))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) #s(literal 4 binary64)) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c a) c))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) #s(literal 4 binary64)) (*.f64 c a)) (/.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) #s(literal 4 binary64)) c) (/.f64 (*.f64 c a) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) #s(literal 4 binary64)) a) (/.f64 (*.f64 c a) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 (*.f64 c a) (*.f64 c a)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 c a)) (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 4 binary64) a))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 c a)) (*.f64 a #s(literal -4 binary64))) (/.f64 #s(literal 4 binary64) c))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 c a)) (*.f64 c a)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 c a)) c) (/.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 c a)) a) (/.f64 #s(literal 4 binary64) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 c a)) #s(literal -4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 c a)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c #s(literal -4 binary64))) (*.f64 c #s(literal -4 binary64))) (/.f64 a a))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c #s(literal -4 binary64))) (*.f64 a #s(literal -4 binary64))) (/.f64 a c))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c #s(literal -4 binary64))) (*.f64 c a)) (/.f64 a #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c #s(literal -4 binary64))) c) (/.f64 a (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c #s(literal -4 binary64))) a) (/.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c #s(literal -4 binary64))) #s(literal -4 binary64)) (/.f64 a (*.f64 c a)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 a #s(literal -4 binary64))) (*.f64 c #s(literal -4 binary64))) (/.f64 c a))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal -4 binary64))) (/.f64 c c))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 a #s(literal -4 binary64))) (*.f64 c a)) (/.f64 c #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 a #s(literal -4 binary64))) c) (/.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 a #s(literal -4 binary64))) a) (/.f64 c (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 a #s(literal -4 binary64))) #s(literal -4 binary64)) (/.f64 c (*.f64 c a)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c a)) (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal -4 binary64) a))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c a)) (*.f64 a #s(literal -4 binary64))) (/.f64 #s(literal -4 binary64) c))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c a)) (*.f64 c a)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c a)) c) (/.f64 #s(literal -4 binary64) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c a)) a) (/.f64 #s(literal -4 binary64) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 c a)) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) c) (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 a #s(literal -4 binary64)) a))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) c) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) c) (*.f64 c a)) (/.f64 (*.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) c) c) (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) c) a) (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) c) #s(literal -4 binary64)) (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 c a)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 c a) a))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c a) c))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal -4 binary64)) (*.f64 c a)) (/.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal -4 binary64)) c) (/.f64 (*.f64 c a) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal -4 binary64)) a) (/.f64 (*.f64 c a) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal -4 binary64)) #s(literal -4 binary64)) (/.f64 (*.f64 c a) (*.f64 c a)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 c c) a))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c c) c))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (*.f64 c a)) (/.f64 (*.f64 c c) #s(literal -4 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) c) (/.f64 (*.f64 c c) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) (/.f64 (*.f64 c c) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 (*.f64 c c) (*.f64 c a)))
(*.f64 (/.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 a a) c))
(*.f64 (/.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 c a)) (/.f64 (*.f64 a a) #s(literal -4 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) c) (/.f64 (*.f64 a a) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) a) (/.f64 (*.f64 a a) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 (*.f64 a a) (*.f64 c a)))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) a) (/.f64 #s(literal 16 binary64) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 c #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) a))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) c) (/.f64 #s(literal 16 binary64) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 a #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) c))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 c a)))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 c a)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) c))
(*.f64 (/.f64 #s(literal 16 binary64) c) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) a))
(*.f64 (/.f64 #s(literal 16 binary64) a) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 c a)) #s(literal -4 binary64))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 a #s(literal -4 binary64))) (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) c))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) c) (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 c #s(literal -4 binary64))) (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) a))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) a) (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 c a)) (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal -4 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal -4 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 c a)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 a #s(literal -4 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) c))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) c) (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c #s(literal -4 binary64))) (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c a)) (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal -4 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal -4 binary64)) (/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c a)))
(*.f64 (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 a #s(literal -4 binary64))) (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) c))
(*.f64 (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) c) (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 a #s(literal -4 binary64))))
(*.f64 (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c #s(literal -4 binary64))) (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a))
(*.f64 (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a) (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c a)) (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal -4 binary64)))
(*.f64 (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal -4 binary64)) (/.f64 (fabs.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 c a)))
(*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -4 binary64)) c)) a))
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eval563.0ms (5.9%)

Memory
35.9MiB live, 737.2MiB allocated; 128ms collecting garbage
Compiler

Compiled 146 837 to 15 076 computations (89.7% saved)

prune130.0ms (1.4%)

Memory
19.4MiB live, 261.2MiB allocated; 28ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New3 11683 124
Fresh4812
Picked325
Done022
Total3 123203 143
Accuracy
92.9%
Counts
3 143 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
28.2%
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
49.1%
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
48.5%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
33.9%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
33.4%
(/.f64 (*.f64 a (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b)) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
29.1%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 a b) (*.f64 c #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
31.4%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
22.4%
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
44.3%
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
27.0%
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
32.6%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
12.6%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
32.7%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) c) b) b) (/.f64 a b) (/.f64 c (neg.f64 b))))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
32.9%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
37.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
31.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
33.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
Compiler

Compiled 1 135 to 723 computations (36.3% saved)

simplify168.0ms (1.8%)

Memory
-10.6MiB live, 227.4MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
cost-diff0
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a)
cost-diff0
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
cost-diff7
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 c (*.f64 b b))
cost-diff0
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
cost-diff3
(fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b)))
cost-diff0
(/.f64 c (*.f64 b b))
cost-diff0
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
cost-diff0
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
cost-diff0
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
cost-diff0
#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
cost-diff0
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
cost-diff0
(*.f64 (*.f64 c a) #s(literal -4 binary64))
cost-diff0
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
cost-diff0
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063534
095525
1186512
2429447
31603417
45396417
08248415
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
(fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b)))
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
(/.f64 (*.f64 a c) (neg.f64 b))
(*.f64 a c)
a
(neg.f64 b)
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a)
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
c
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
#s(literal 2 binary64)
Outputs
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal -4 binary64)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 c (neg.f64 b))))
(fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b)))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 c (neg.f64 b)))
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
(/.f64 (*.f64 a c) (neg.f64 b))
(*.f64 (/.f64 (neg.f64 a) b) c)
(*.f64 a c)
a
(neg.f64 b)
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 #s(literal 2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a)
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) a)
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
c
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 b b)
b
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c a)
(*.f64 a c)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 2 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
#s(literal 2 binary64)

localize308.0ms (3.2%)

Memory
7.0MiB live, 586.5MiB allocated; 127ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy12.418800368700111
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
accuracy15.254704283307888
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
accuracy26.022022526652844
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
accuracy36.33599778885819
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
accuracy3.035012544911714
(/.f64 (*.f64 a c) (neg.f64 b))
accuracy5.3074624224411915
(fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b)))
accuracy6.549029491618718
(/.f64 c (*.f64 b b))
accuracy39.99463979360424
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
accuracy0.01171875
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
accuracy6.549029491618718
(/.f64 c (*.f64 b b))
accuracy6.741015529929978
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
accuracy42.91475004962743
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
accuracy0.0
#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
accuracy55.916515069458775
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
accuracy3.117019830309242
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy11.816750896942064
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy12.969990324476784
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
accuracy26.022022526652844
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
Samples
100.0ms77×1valid
75.0ms80×2valid
62.0ms85×0valid
21.0ms14×3valid
Compiler

Compiled 481 to 50 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-add: 39.0ms (23.6% of total)
ival-mult: 36.0ms (21.8% of total)
adjust: 35.0ms (21.1% of total)
ival-div: 30.0ms (18.1% of total)
ival-sub: 11.0ms (6.6% of total)
ival-sqrt: 11.0ms (6.6% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series84.0ms (0.9%)

Memory
-16.7MiB live, 169.3MiB allocated; 31ms collecting garbage
Counts
22 → 235
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 c (*.f64 b b))
(fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
(*.f64 b b)
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a)
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(/.f64 (*.f64 a c) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
Outputs
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -4 (* a c))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ -1 a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 4 (* a c))
(/ (+ (* 1/8 (* a (+ (* -8 b) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/8 (* a (+ (* -2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (* 8 (/ c b))))) (* 1/8 (+ (* -8 b) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/8 (+ (* -8 b) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* 1/8 (* a (+ (* -4 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (* 8 (/ (pow c 2) (pow b 3)))))) (* 1/8 (+ (* -2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (* 8 (/ c b))))))))) (pow a 2))
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c)))
(/ (+ (* -1 a) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) (pow a 2))
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c)))
(/ (+ (* -1 a) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) a)
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))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (/ (* a c) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/8 (/ (+ (* -4 b) (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 1/8 (/ (+ (* -4 b) (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) a)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (pow a 2)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 2) (+ (* -1 (pow b 2)) (pow b 2))) (sqrt -4)))) (+ (* 1/8 (/ (+ (* -4 b) (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) a)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (pow a 2))))))
(/ (- (* 1/4 (/ (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)) a)) 1) a)
-1
(- (* 1/4 (/ (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)) a)) 1)
(* (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))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/8 (/ (+ (* 2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (/ (+ (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) a)) (* 1/8 (+ (* 2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 b)))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* 1/8 (+ (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)))) a)) (* 1/8 (+ (* 2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 b)))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ 1 (* -1/4 (/ (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)) a))) a))
(* -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))))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(pow b 2)
(+ (* 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 (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))))) 2))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* 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)))))))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -2 (/ (* a c) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(/ (+ (* 1/8 (* c (+ (* -8 (/ b a)) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2)))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/8 (* c (+ (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 8 (/ 1 b))))) (* 1/8 (+ (* -8 (/ b a)) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/8 (+ (* -8 (/ b a)) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* 1/8 (* c (+ (* -4 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (* 8 (/ a (pow b 3)))))) (* 1/8 (+ (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 8 (/ 1 b))))))))) c)
(/ (+ (* -1 (/ c a)) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)
(/ (+ (* -1 c) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) c)
(+ 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))))))))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/8 (/ (+ (* -4 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 1/8 (/ (+ (* -4 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) c)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (pow c 2))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (+ (* -1 (pow b 2)) (pow b 2))) (sqrt -4)))) (+ (* 1/8 (/ (+ (* -4 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) c)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (pow c 2)))))))
(- (* 1/4 (/ (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))) c)) (/ 1 a))
(- (* 1/4 (/ (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) c)) 1)
(* 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))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/8 (/ (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/8 (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 (/ b a)))) (* 1/8 (/ (+ (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)) (* -1/8 (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 (/ b a))))) c)))))
(* -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 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
c
@-inf
((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (* (/ c (* b b)) (/ (* a c) (neg b))) (/ c (neg b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b b) (- (* b b) (+ (* (* c a) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (/ (* a c) (neg b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))
10.0ms
c
@inf
((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (* (/ c (* b b)) (/ (* a c) (neg b))) (/ c (neg b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b b) (- (* b b) (+ (* (* c a) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (/ (* a c) (neg b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))
8.0ms
a
@0
((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (* (/ c (* b b)) (/ (* a c) (neg b))) (/ c (neg b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b b) (- (* b b) (+ (* (* c a) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (/ (* a c) (neg b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))
6.0ms
b
@inf
((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (* (/ c (* b b)) (/ (* a c) (neg b))) (/ c (neg b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b b) (- (* b b) (+ (* (* c a) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (/ (* a c) (neg b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))
6.0ms
a
@inf
((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (- (/ c (* b b)) (/ 1 a)) b) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (+ (* (/ c (* b b)) (/ (* a c) (neg b))) (/ c (neg b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b b) (- (* b b) (+ (* (* c a) -4) (* b b))) (* (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) 2)) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) a) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (/ (* a c) (neg b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b))

simplify206.0ms (2.1%)

Memory
17.7MiB live, 256.0MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014459421
153939237
080998784
Stop Event
iter limit
node limit
Counts
235 → 234
Calls
Call 1
Inputs
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -4 (* a c))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ -1 a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 4 (* a c))
(/ (+ (* 1/8 (* a (+ (* -8 b) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/8 (* a (+ (* -2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (* 8 (/ c b))))) (* 1/8 (+ (* -8 b) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/8 (+ (* -8 b) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* 1/8 (* a (+ (* -4 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (* 8 (/ (pow c 2) (pow b 3)))))) (* 1/8 (+ (* -2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (* 8 (/ c b))))))))) (pow a 2))
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c)))
(/ (+ (* -1 a) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) (pow a 2))
(* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c)))
(/ (+ (* -1 a) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) a)
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))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (/ (* a c) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/8 (/ (+ (* -4 b) (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 1/8 (/ (+ (* -4 b) (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) a)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (pow a 2)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 2) (+ (* -1 (pow b 2)) (pow b 2))) (sqrt -4)))) (+ (* 1/8 (/ (+ (* -4 b) (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) a)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (pow a 2))))))
(/ (- (* 1/4 (/ (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)) a)) 1) a)
-1
(- (* 1/4 (/ (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)) a)) 1)
(* (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))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/8 (/ (+ (* 2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (/ (+ (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) a)) (* 1/8 (+ (* 2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 b)))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* 1/8 (+ (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)))) a)) (* 1/8 (+ (* 2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 b)))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ 1 (* -1/4 (/ (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)) a))) a))
(* -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))))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(pow b 2)
(+ (* 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 (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))))) 2))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* 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)))))))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -2 (/ (* a c) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(/ (+ (* 1/8 (* c (+ (* -8 (/ b a)) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2)))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/8 (* c (+ (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 8 (/ 1 b))))) (* 1/8 (+ (* -8 (/ b a)) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/8 (+ (* -8 (/ b a)) (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* 1/8 (* c (+ (* -4 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))) (* 8 (/ a (pow b 3)))))) (* 1/8 (+ (* -2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow b 3))) (* 8 (/ 1 b))))))))) c)
(/ (+ (* -1 (/ c a)) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)
(/ (+ (* -1 c) (* 1/4 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) c)
(+ 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))))))))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/8 (/ (+ (* -4 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 1/8 (/ (+ (* -4 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) c)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (pow c 2))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (+ (* -1 (pow b 2)) (pow b 2))) (sqrt -4)))) (+ (* 1/8 (/ (+ (* -4 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))) c)) (* 1/8 (/ (+ (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (pow c 2)))))))
(- (* 1/4 (/ (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))) c)) (/ 1 a))
(- (* 1/4 (/ (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) c)) 1)
(* 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))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/8 (/ (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/8 (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 (/ b a)))) (* 1/8 (/ (+ (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)) (* -1/8 (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* 4 (/ b a))))) c)))))
(* -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 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 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 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) c))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c) #s(literal -1 binary64) b) c))))

rewrite187.0ms (1.9%)

Memory
19.6MiB live, 205.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063425
095403
1365391
22591391
08835389
Stop Event
iter limit
node limit
iter limit
Counts
22 → 543
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 c (*.f64 b b))
(fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
(*.f64 b b)
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a)
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(/.f64 (*.f64 a c) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
Outputs
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) a))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (neg.f64 a)))
(*.f64 (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) a) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) a) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) a) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) #s(literal -2 binary64)) (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) a))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (neg.f64 a)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) a) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (neg.f64 a)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) a))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) a))
(*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))))) (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))))) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) a))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))))) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
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(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))

eval164.0ms (1.7%)

Memory
2.9MiB live, 185.7MiB allocated; 35ms collecting garbage
Compiler

Compiled 44 923 to 3 805 computations (91.5% saved)

prune51.0ms (0.5%)

Memory
-6.9MiB live, 80.9MiB allocated; 11ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New76610776
Fresh6511
Picked235
Done044
Total77422796
Accuracy
92.9%
Counts
796 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
48.5%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
33.9%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
29.1%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 a b) (*.f64 c #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
31.4%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
22.4%
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
44.3%
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
27.0%
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) a))
48.3%
(*.f64 (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) #s(literal -1 binary64)) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
31.6%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)) b))
12.3%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
33.0%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
32.9%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
33.1%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 (neg.f64 b) a)))
12.3%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
12.6%
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
32.7%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) c) b) b) (/.f64 a b) (/.f64 c (neg.f64 b))))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (neg.f64 c) a) (neg.f64 c)) b))
37.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
31.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
37.5%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
Compiler

Compiled 2 296 to 758 computations (67% saved)

regimes61.0ms (0.6%)

Memory
-7.3MiB live, 53.1MiB allocated; 7ms collecting garbage
Counts
45 → 4
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 (neg.f64 b) a)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 a b) (*.f64 c #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (neg.f64 c) a) (neg.f64 c)) b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.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))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
(*.f64 (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) #s(literal -1 binary64)) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) c) b) b) (/.f64 a b) (/.f64 c (neg.f64 b))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 a (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64)) #s(literal -2 binary64) b)) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) a))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 b b (*.f64 (neg.f64 b) b))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b (/.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)) b))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
Calls

4 calls:

25.0ms
a
12.0ms
c
12.0ms
b
10.0ms
(/.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
73.4%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))
57.1%4a
89.7%4b
55.9%3c
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes10.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 (neg.f64 b) a)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 a b) (*.f64 c #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (neg.f64 c) a) (neg.f64 c)) b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.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))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a c) (neg.f64 b)) (/.f64 c (neg.f64 b))))
(*.f64 (/.f64 #s(approx (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- (* b b) (+ (* (* c a) -4) (* b b)))) #s(literal -1 binary64)) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) c) b) b) (/.f64 a b) (/.f64 c (neg.f64 b))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
87.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.3%)

Memory
-30.7MiB live, 13.4MiB allocated; 5ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 (neg.f64 b) a)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 a b) (*.f64 c #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (neg.f64 c) a) (neg.f64 c)) b))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
Calls

1 calls:

27.0ms
b
Results
AccuracySegmentsBranch
84.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 (neg.f64 b) a)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(/.f64 #s(approx (+ (* (/ (sqrt (+ (* (* -4 a) c) (* b b))) -2) (* -2 a)) (* a b)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 a b) (*.f64 c #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
Calls

2 calls:

5.0ms
b
4.0ms
(/.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
48.7%3(/.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))
68.3%2b
Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 (neg.f64 b) a)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
68.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
-22.1MiB live, 19.6MiB allocated; 6ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (- (/ c (* b b)) (/ 1 a)) b) (/.f64 c b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
Calls

4 calls:

5.0ms
c
2.0ms
a
2.0ms
b
2.0ms
(/.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
37.5%1(/.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))
37.5%1a
37.5%1c
37.5%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

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

4 calls:

1.0ms
b
1.0ms
(/.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))
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
12.6%1c
12.6%1(/.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))
12.6%1b
12.6%1a
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch86.0ms (0.9%)

Memory
-17.3MiB live, 92.1MiB allocated; 24ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
52.0ms
1.8161175315567054e+151
3.207013148164266e+151
29.0ms
-9.792739318445052e-117
-6.321732784832531e-131
0.0ms
-1.1306366915536701e+33
-1.1140130814608248e+33
Samples
50.0ms196×0valid
4.0ms49×0invalid
4.0ms23×1valid
1.0ms2valid
Compiler

Compiled 678 to 514 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-neg: 35.0ms (68.5% of total)
ival-mult: 7.0ms (13.7% of total)
ival-sub: 3.0ms (5.9% of total)
ival-div: 2.0ms (3.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
adjust: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
20.3MiB live, 64.4MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
1.8161175315567054e+151
3.207013148164266e+151
29.0ms
-2.5049480948972575e-64
-7.127480566468824e-73
Samples
11.0ms90×0valid
6.0ms35×1valid
4.0ms19×2valid
2.0ms25×0invalid
Compiler

Compiled 501 to 423 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sqrt: 5.0ms (28.9% of total)
ival-mult: 5.0ms (28.9% of total)
adjust: 2.0ms (11.6% of total)
ival-div: 2.0ms (11.6% of total)
ival-sub: 2.0ms (11.6% of total)
ival-neg: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
-24.9MiB live, 64.5MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
5.227375550450033e-86
1.192155709428595e-80
9.0ms
-2.5049480948972575e-64
-7.127480566468824e-73
Samples
17.0ms162×0valid
4.0ms43×0invalid
2.0ms12×1valid
0.0ms2valid
Compiler

Compiled 848 to 686 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.4% of total)
ival-sqrt: 4.0ms (23.6% of total)
ival-neg: 3.0ms (17.7% of total)
ival-div: 2.0ms (11.8% of total)
ival-sub: 2.0ms (11.8% of total)
adjust: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
14.7MiB live, 64.4MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
-2.2727758413081706e-303
8.334096003876665e-309
Samples
13.0ms76×0invalid
12.0ms144×0valid
Compiler

Compiled 452 to 362 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sqrt: 8.0ms (42.7% of total)
ival-mult: 5.0ms (26.7% of total)
ival-sub: 2.0ms (10.7% of total)
ival-div: 1.0ms (5.3% of total)
ival-neg: 1.0ms (5.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-5.1MiB live, 39.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-2.2727758413081706e-303
8.334096003876665e-309
Samples
8.0ms96×0valid
3.0ms41×0invalid
Compiler

Compiled 416 to 344 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.8% of total)
ival-div: 1.0ms (13.6% of total)
ival-sub: 1.0ms (13.6% of total)
ival-sqrt: 1.0ms (13.6% of total)
ival-neg: 1.0ms (13.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify58.0ms (0.6%)

Memory
20.8MiB live, 64.8MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
084411
1135407
2276395
3783391
42409389
57342389
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -1120000000000000031277979074035712 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -1646234587080699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b #s(literal -5585173065148971/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -5099505842092539/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6301161755966685/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -4250447319453523/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
Outputs
(if (<=.f64 b #s(literal -1120000000000000031277979074035712 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -1646234587080699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b #s(literal -5585173065148971/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -5099505842092539/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 6301161755966685/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -4250447319453523/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))

derivations856.0ms (8.9%)

Memory
-30.1MiB live, 559.7MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452728
117852707
272722707
080542568
0148510150
154919966
081439485
01456
02356
17356
249355
3605855
0817551
013228989
147858080
085787700
061344
098327
1346321
22238318
09716313
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 413 to 87 computations (78.9% saved)

preprocess66.0ms (0.7%)

Memory
10.0MiB live, 56.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 944 to 244 computations (74.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...