The quadratic formula (r2)

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze147.0ms (1.5%)

Memory
39.4MiB live, 237.4MiB allocated
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)

sample2.3s (23.7%)

Memory
-1.8MiB live, 2 667.6MiB allocated
Samples
662.0ms5 548×0valid
453.0ms1 162×2valid
277.0ms1 360×1valid
223.0ms912×0invalid
99.0ms186×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 484.0ms (37.5% of total)
adjust: 289.0ms (22.4% of total)
ival-sub: 144.0ms (11.2% of total)
ival-div: 132.0ms (10.2% of total)
ival-neg: 111.0ms (8.6% of total)
ival-sqrt: 109.0ms (8.4% of total)
exact: 10.0ms (0.8% of total)
ival-true: 8.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain292.0ms (3%)

Memory
-3.4MiB live, 312.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
990-1(2.8985130177875177e-202 -6.428394566341808e-158 -1.1637557878089103e-123)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
500-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
100-2(1.1423818649447117e-223 -9.845224616439605e-95 1.7255921760492858e-185)(/.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))
70-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
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-(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-rescue940
(*.f64 b b)overflow77
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow29
(*.f64 a c)overflow29
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow94
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation500
/.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/n80
(*.f64 b b)underflow42
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow23
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow34
(*.f64 a c)underflow34
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow4
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue70
(*.f64 b b)overflow77
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow29
(*.f64 a c)overflow29
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue40
(*.f64 b b)underflow42
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow34
(*.f64 a c)underflow34
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow4
Confusion
Predicted +Predicted -
+1150
-15126
Precision
0.8846153846153846
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11500
-150126
Precision?
0.8846153846153846
Recall?
1.0
Freqs
test
numberfreq
0126
199
229
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms64×1valid
39.0ms370×0valid
15.0ms68×2valid
3.0ms10×3valid
Compiler

Compiled 231 to 60 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
adjust: 47.0ms (54.7% of total)
ival-mult: 13.0ms (15.1% of total)
ival-sub: 10.0ms (11.6% of total)
ival-sqrt: 6.0ms (7% of total)
ival-div: 5.0ms (5.8% of total)
ival-neg: 2.0ms (2.3% of total)
ival-true: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess287.0ms (3%)

Memory
-2.2MiB live, 75.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056158
1189151
2590147
31942144
44692144
55896144
66384144
76472144
86511144
96782144
01417
02317
14517
210417
324716
440916
574316
6157016
7208216
8224216
9231216
10232216
11232216
12232816
0232815
Stop Event
iter limit
saturated
iter limit
node 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))
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 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(/.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))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify80.0ms (0.8%)

Memory
7.6MiB live, 43.3MiB allocated
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-diff128
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
cost-diff128
(/.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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14570
210470
324769
440969
574369
6157069
7208269
8224269
9231269
10232269
11232269
12232869
0232865
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 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(-.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 a) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize100.0ms (1%)

Memory
11.6MiB live, 61.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.4023437500000002
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy1.8965136820168518
(/.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))
accuracy11.394533234160788
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy22.906050635579092
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
64.0ms32×1valid
17.0ms185×0valid
8.0ms34×2valid
1.0ms3valid
Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 46.0ms (58.8% of total)
ival-sqrt: 19.0ms (24.3% of total)
ival-mult: 6.0ms (7.7% of total)
ival-sub: 4.0ms (5.1% of total)
adjust: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory
-8.1MiB live, 29.9MiB allocated
Counts
5 → 99
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 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(-.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))))
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)
(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))
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))))))))
(* -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)))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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))))))
(* (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 (* 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))))))
(* -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))))))))
(+ (* -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) (* 4 (* a c)))
(- (* -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)))))))))
(* 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)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 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 (+ (* -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 (- (/ (pow b 2) c) (* 4 a)))
(* 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 (* (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 (/ (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 (+ (* 1/4 (* (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
28.0ms
a
@inf
((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms
c
@-inf
((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms
b
@inf
((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms
a
@-inf
((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms
b
@0
((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))

simplify246.0ms (2.6%)

Memory
20.3MiB live, 208.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452739
117182710
257682671
081322533
Stop Event
iter limit
node limit
Counts
99 → 98
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)
(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))
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))))))))
(* -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)))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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))))))
(* (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 (* 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))))))
(* -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))))))))
(+ (* -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) (* 4 (* a c)))
(- (* -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)))))))))
(* 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)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 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 (+ (* -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 (- (/ (pow b 2) c) (* 4 a)))
(* 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 (* (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 (/ (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 (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)) c) 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)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 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) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)) c)) 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 (*.f64 #s(literal 2 binary64) 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 (*.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) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)) c) 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 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(* -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 #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.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 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c 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 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))) (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 (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) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #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 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 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))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #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 (*.f64 a a) #s(literal 2 binary64)) (/.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 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) #s(literal -2 binary64)) c 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 (+ (* -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 (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) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 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 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) b) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/64 binary64)))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (neg.f64 (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)) (/ b c))))
(*.f64 (neg.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) (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 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.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) (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 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 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 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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)))))
(*.f64 (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)) 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 (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)) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) 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 (+.f64 (/.f64 (fma.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)) (neg.f64 b)) c) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) 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 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.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)))) c) b) 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)))))))

rewrite150.0ms (1.6%)

Memory
4.6MiB live, 201.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
18151
259148
0809344
Stop Event
iter limit
node limit
iter limit
Counts
5 → 512
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 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(-.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))))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (hypot.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (hypot.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.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))))
(neg.f64 (neg.f64 (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 0 binary64) (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 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))

eval121.0ms (1.3%)

Memory
-27.1MiB live, 128.4MiB allocated
Compiler

Compiled 21 739 to 2 324 computations (89.3% saved)

prune47.0ms (0.5%)

Memory
4.8MiB live, 53.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New59116607
Fresh000
Picked101
Done000
Total59216608
Accuracy
91.4%
Counts
608 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
24.1%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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)))
57.1%
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
50.2%
(/.f64 (-.f64 (neg.f64 b) (/.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))
56.5%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
32.2%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
33.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
11.7%
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
27.0%
(/.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))
32.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
32.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
29.4%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
38.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))
39.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
30.4%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
38.9%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
Compiler

Compiled 726 to 524 computations (27.8% saved)

simplify314.0ms (3.3%)

Memory
23.7MiB live, 135.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
cost-diff0
(neg.f64 b)
cost-diff128
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(/.f64 c b)
cost-diff0
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
cost-diff0
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))
cost-diff0
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c 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-diff128
(/.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
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
cost-diff0
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b)
cost-diff128
(/.f64 (-.f64 (neg.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: 0 (0.0ms)

IterNodesCost
041340
065334
1126334
2281329
3664328
41194328
52678328
64773328
76072328
86543328
96623328
106659328
116784328
126867328
136871328
146871328
157870328
08166327
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b)
(neg.f64 (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)))
(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 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(/.f64 c b)
c
b
(/.f64 (*.f64 c a) b)
(*.f64 c a)
a
(neg.f64 b)
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (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)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.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))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 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))
#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 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) b))
(-.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 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 a) b) b) c #s(literal -1 binary64)) (/.f64 c b)))
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 a) b) b) c #s(literal -1 binary64)) (/.f64 c b))
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c)
(/.f64 c b)
c
b
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 c a)
(*.f64 a c)
a
(neg.f64 b)
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) a)
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) b)
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (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))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize156.0ms (1.6%)

Memory
-9.1MiB live, 189.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.4023437500000002
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy1.8965136820168518
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
accuracy11.394533234160788
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
accuracy22.667746477026178
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy0.078125
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
accuracy0.7301410465494008
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))
accuracy5.796115852861774
(/.f64 (*.f64 c a) b)
accuracy44.62273202369863
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
accuracy1.8965136820168518
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy11.394533234160788
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
accuracy20.116345040573602
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
accuracy22.906050635579092
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
accuracy0.0
(/.f64 c (neg.f64 b))
accuracy0.0
(neg.f64 b)
accuracy44.5369059821727
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy1.4023437500000002
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy1.8965136820168518
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
accuracy11.394533234160788
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b)
accuracy22.906050635579092
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
Samples
60.0ms34×2valid
49.0ms185×0valid
14.0ms32×1valid
4.0ms3valid
Compiler

Compiled 660 to 78 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
adjust: 24.0ms (30.4% of total)
ival-div: 18.0ms (22.8% of total)
ival-sub: 11.0ms (13.9% of total)
ival-mult: 11.0ms (13.9% of total)
ival-sqrt: 8.0ms (10.1% of total)
ival-neg: 3.0ms (3.8% of total)
ival-add: 3.0ms (3.8% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
20.0MiB live, 57.4MiB allocated
Counts
21 → 172
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b)
(neg.f64 (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)))
#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 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(/.f64 c b)
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (- (* b b) (* 4 (* a c))) (*.f64 b b))
(/.f64 (*.f64 c a) b)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (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))
(- (* 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 b)
(- (* 2 (/ (* a c) b)) b)
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) b)
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) 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))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* -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)))))
(* 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 (- (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* -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))))))
(* (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 (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))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* (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 (- (* -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 (- (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* -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))))))))
(* -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))))))))
(* -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 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -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)))
(- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (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) (- (* (pow b 2) (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ c b)
(- (pow b 2) (* 4 (* a c)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(* 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 (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 1 (+ (* -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) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(* -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 (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -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)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(+ (* -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 (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) b)
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) 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 (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (+ 1 (/ (* a c) (pow b 2))))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* 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 (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* -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 (+ (* 1/2 (* (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))))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* -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 (- (* -1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* -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 (+ (* 1/4 (* (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 (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -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 b) (/ (* c a) b)) c) (neg b)) (+ (* (/ c b) (/ (* c a) b)) c) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))) (/ (* c a) b) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))
6.0ms
a
@inf
((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -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 b) (/ (* c a) b)) c) (neg b)) (+ (* (/ c b) (/ (* c a) b)) c) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))) (/ (* c a) b) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))
4.0ms
b
@0
((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -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 b) (/ (* c a) b)) c) (neg b)) (+ (* (/ c b) (/ (* c a) b)) c) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))) (/ (* c a) b) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))
4.0ms
c
@inf
((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -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 b) (/ (* c a) b)) c) (neg b)) (+ (* (/ c b) (/ (* c a) b)) c) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))) (/ (* c a) b) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))
4.0ms
c
@-inf
((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -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 b) (/ (* c a) b)) c) (neg b)) (+ (* (/ c b) (/ (* c a) b)) c) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))) (/ (* c a) b) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))

simplify184.0ms (1.9%)

Memory
-15.1MiB live, 204.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08585147
127405056
082224834
Stop Event
iter limit
node limit
Counts
172 → 170
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))
(- (* 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 b)
(- (* 2 (/ (* a c) b)) b)
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) b)
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) 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))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* -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)))))
(* 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 (- (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* -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))))))
(* (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 (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))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* (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 (- (* -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 (- (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* -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))))))))
(* -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))))))))
(* -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 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -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)))
(- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (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) (- (* (pow b 2) (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ c b)
(- (pow b 2) (* 4 (* a c)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(* 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 (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 1 (+ (* -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) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(* -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 (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -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)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(+ (* -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 (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) b)
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) 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 (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (+ 1 (/ (* a c) (pow b 2))))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* 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 (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* -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 (+ (* 1/2 (* (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))))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* -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 (- (* -1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* -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 (+ (* 1/4 (* (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 (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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 #s(literal 2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 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) (fma.f64 a (/.f64 c b) (neg.f64 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 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b))
(* -1 b)
(neg.f64 b)
(- (* 2 (/ (* a c) b)) b)
(-.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) 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 (neg.f64 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) 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 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (neg.f64 b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (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 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) 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 (*.f64 c c) b) (/.f64 a b) c)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(fma.f64 a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -12 binary64) b)) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (/.f64 #s(literal 1 binary64) b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 (*.f64 b a) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -12 binary64) c)) (*.f64 b b)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -12 binary64) b))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (/.f64 #s(literal 1 binary64) b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(fma.f64 (*.f64 (/.f64 (*.f64 b 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 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a)
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) 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)))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a)
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(neg.f64 (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.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 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.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)) (*.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)))) (neg.f64 c))) c))) (neg.f64 c))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (/.f64 b c) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (neg.f64 b)) c) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (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 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal -1/4 binary64))) (neg.f64 c)) b) c) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (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 (fma.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)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (-.f64 (*.f64 (*.f64 #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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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))))) (neg.f64 c))
(* -1 (* c (- (* -1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (-.f64 (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 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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))))) (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 (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)))) (neg.f64 c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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))))) (neg.f64 c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (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 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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)))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c))) (neg.f64 c))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 (pow.f64 c #s(literal 3 binary64))))))

rewrite369.0ms (3.8%)

Memory
22.7MiB live, 273.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041270
065251
1273246
22201244
08727244
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 506
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b)
(neg.f64 (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)))
#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 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(/.f64 c b)
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (- (* b b) (* 4 (* a c))) (*.f64 b b))
(/.f64 (*.f64 c a) b)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 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 -1 binary64)) (pow.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 -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.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 -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b (-.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)))))
(/.f64 (neg.f64 (*.f64 (-.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))) (/.f64 #s(literal 1/2 binary64) a))) (neg.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))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) 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 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 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 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))))))
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(pow.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)) #s(literal 1 binary64))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
(*.f64 (/.f64 a b) c)
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a c) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 a c))
(*.f64 (*.f64 (neg.f64 c) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c b)))
(*.f64 (*.f64 a c) (pow.f64 b #s(literal -1 binary64)))
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(pow.f64 (/.f64 (/.f64 (/.f64 b c) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b c) a) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 c) a) #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) a))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) #s(literal -1 binary64)) b)
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) b)
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) b)
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 b c) a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b c) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 b c) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 b c) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) a))
(/.f64 (*.f64 a c) b)
(neg.f64 (/.f64 (*.f64 (neg.f64 c) a) b))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (*.f64 (neg.f64 c) a) b))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b c) a)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) b) b))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(neg.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(fabs.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64))))

eval178.0ms (1.9%)

Memory
2.6MiB live, 342.5MiB allocated
Compiler

Compiled 47 252 to 5 391 computations (88.6% saved)

prune317.0ms (3.3%)

Memory
-146.4MiB live, 120.6MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1 284171 301
Fresh4711
Picked325
Done000
Total1 291261 317
Accuracy
91.5%
Counts
1 317 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
24.1%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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)))
2.0%
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
1.5%
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (neg.f64 b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))))
57.1%
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
40.2%
(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) b) (*.f64 #s(literal 2 binary64) a))
33.8%
(/.f64 (-.f64 (neg.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))
50.2%
(/.f64 (-.f64 (neg.f64 b) (/.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))
32.2%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
11.7%
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
26.1%
(/.f64 #s(approx (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
27.0%
(/.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))
32.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
32.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))))
32.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
27.1%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
38.8%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
39.0%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
38.9%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
38.2%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
29.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) (neg.f64 b)))
22.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
30.4%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
30.3%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
30.3%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
14.7%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
Compiler

Compiled 1 356 to 922 computations (32% saved)

simplify177.0ms (1.9%)

Memory
-12.4MiB live, 144.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 c a)
cost-diff0
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))
cost-diff64
(fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
cost-diff0
(/.f64 c (*.f64 b b))
cost-diff0
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
cost-diff0
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
cost-diff640
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) a)
cost-diff0
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
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))) (/.f64 #s(literal -1/2 binary64) a))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff896
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042315
065312
1116312
2236310
3494310
4968306
52187302
64577302
75514302
86287302
96880302
107286302
117362302
08036300
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
(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
(*.f64 b b)
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b 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
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.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))
#s(literal -4 binary64)
(*.f64 c a)
c
(*.f64 b b)
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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)))
(fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))
b
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal 4 binary64)
(*.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 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)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
Outputs
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a) #s(literal -1/2 binary64))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
(*.f64 b b)
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (- (neg (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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(-.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
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
(*.f64 b b)
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (*.f64 #s(literal -2 binary64) b) b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 #s(literal 4 binary64) (*.f64 c a)))
b
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))
(fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal 4 binary64)
(*.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 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) a) #s(literal 2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 b (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)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
#s(literal -4 binary64)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)

localize171.0ms (1.8%)

Memory
7.3MiB live, 243.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.4023437500000002
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy15.08716535480234
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy19.78250308989719
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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)))
accuracy22.906050635579092
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy1.4023437500000002
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy3.3475763174223503
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
accuracy15.08716535480234
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy22.906050635579092
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy0.00390625
(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
accuracy5.611338524661465
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
accuracy7.245498825457899
(/.f64 c (*.f64 b b))
accuracy39.123071509432805
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
accuracy0.0
(/.f64 (neg.f64 b) a)
accuracy0.0
(neg.f64 b)
accuracy39.05667670991542
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.25390625
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
accuracy1.4023437500000002
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy17.421008118109572
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
accuracy22.906050635579092
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
Samples
51.0ms85×2valid
29.0ms67×1valid
23.0ms92×0valid
11.0ms12×3valid
Compiler

Compiled 638 to 83 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 22.0ms (28.7% of total)
ival-div: 17.0ms (22.2% of total)
adjust: 13.0ms (17% of total)
ival-add: 9.0ms (11.8% of total)
ival-sub: 7.0ms (9.1% of total)
ival-sqrt: 5.0ms (6.5% of total)
ival-neg: 3.0ms (3.9% of total)
exact: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series71.0ms (0.7%)

Memory
27.3MiB live, 69.5MiB allocated
Counts
20 → 213
Calls
Call 1
Inputs
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal -1/2 binary64) a)
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.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))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))
(*.f64 c a)
(*.f64 b b)
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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)))
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)
(/ -1/2 a)
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) 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))))))))
(/ -1 a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(/ 1/2 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))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(pow b 2)
(+ (* 4 (* a c)) (pow b 2))
(* a c)
(+ (* -4 (* a c)) (pow b 2))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (* a (- (* 2 b) b))) (* -1/2 (/ (pow b 3) c))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* 1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 4))))))) (* 1/2 (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2))))))))) (pow a 2))
(* -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))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -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))))))
(+ (* -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))))))
(+ (* -1 (/ b a)) (/ c b))
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b 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)))) (* 1/2 (/ b a)))))
(* -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)))))
(* 4 (* a c))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 b)
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(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
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(* -1 (/ c b))
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(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
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(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(/ b a)
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(* 2 b)
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(+ (* -1/2 (/ b a)) (/ c b))
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(/ (+ (* -1/2 (* c (- (* 2 (/ b a)) (/ b a)))) (* -1/2 (/ (pow b 3) (pow a 2)))) c)
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(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
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(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
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(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (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 (- (/ 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 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ 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)))))
(* -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 (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -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 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
b
@inf
((+ (* b (/ -1/2 a)) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a))) (/ -1/2 a) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (* (- (/ c (* b b)) (/ 1 a)) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (+ (* -4 (* c a)) (* b b)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))))
10.0ms
a
@0
((+ (* b (/ -1/2 a)) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a))) (/ -1/2 a) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (* (- (/ c (* b b)) (/ 1 a)) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (+ (* -4 (* c a)) (* b b)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))))
6.0ms
c
@-inf
((+ (* b (/ -1/2 a)) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a))) (/ -1/2 a) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (* (- (/ c (* b b)) (/ 1 a)) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (+ (* -4 (* c a)) (* b b)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))))
6.0ms
a
@inf
((+ (* b (/ -1/2 a)) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a))) (/ -1/2 a) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (* (- (/ c (* b b)) (/ 1 a)) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (+ (* -4 (* c a)) (* b b)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))))
6.0ms
c
@inf
((+ (* b (/ -1/2 a)) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a))) (/ -1/2 a) (* (sqrt (+ (* -4 (* c a)) (* b b))) (/ -1/2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/ (neg b) a) (neg b) (* (- (/ c (* b b)) (/ 1 a)) b) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c (* b b)) (/ 1 a)) (/ c (* b b)) (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* b b) (+ (* (* c a) 4) (* b b))) (+ (* (* c a) 4) (* b b)) (* c a) (* b b) (+ (* -4 (* c a)) (* b b)) (/ (+ (* b b) (+ (* (* c a) 4) (* b b))) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))))

simplify292.0ms (3.1%)

Memory
0.1MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011027113
136066853
084156538
Stop Event
iter limit
node limit
Counts
213 → 212
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/ -1/2 a)
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) 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))))))))
(/ -1 a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(/ 1/2 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))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(pow b 2)
(+ (* 4 (* a c)) (pow b 2))
(* a c)
(+ (* -4 (* a c)) (pow b 2))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (* a (- (* 2 b) b))) (* -1/2 (/ (pow b 3) c))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* 1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (- (* 2 b) b)) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 4))))))) (* 1/2 (+ (* 2 (/ c b)) (/ (* c (- (* 2 b) b)) (pow b 2))))))))) (pow a 2))
(* -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))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -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))))))
(+ (* -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))))))
(+ (* -1 (/ b a)) (/ c b))
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b 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)))) (* 1/2 (/ b a)))))
(* -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)))))
(* 4 (* a c))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* (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 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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))))))))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) 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 (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -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 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (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)))))))))
(* -1 b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(+ (* -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)))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (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 (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* -1/2 (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 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 (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 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)))))))
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ 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 (/ (* (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) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* (pow b 3) (- (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* (pow b 3) (- (+ (* 1/2 (/ (+ c (* 2 c)) (pow b 4))) (* 1/2 (/ (+ (* -1 (* a (* c (+ c (* 2 c))))) (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 2 (* a (pow c 2))))) (pow b 6)))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -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 (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(* 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 (* b (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 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 (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* 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 (* c (- (* 2 (/ b a)) (/ b a)))) (* -1/2 (/ (pow b 3) (pow a 2)))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* 1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))))))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (- (* 2 (/ b a)) (/ b a))) (* c (+ (* 1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (/ b a))) (pow b 4))))))) (* 1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (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 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (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 (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -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)))) (* 1/2 (/ b (* a c)))))))
(* 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 (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (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 (- (/ 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 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ 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)))))
(* -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 (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -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 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)))
Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
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(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))) (neg.f64 c))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c)))
(fma.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b (/.f64 c a)))) c) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b (/.f64 c a))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) c) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b (/.f64 c a)))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* 1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b (/.f64 c a)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b (/.f64 c a))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b (/.f64 c a))))) a) #s(literal -1/8 binary64))) c) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b (/.f64 c a))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) (neg.f64 c))) c)))

rewrite211.0ms (2.2%)

Memory
3.6MiB live, 228.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042212
065209
1242209
22104209
08246206
Stop Event
iter limit
node limit
iter limit
Counts
20 → 642
Calls
Call 1
Inputs
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal -1/2 binary64) a)
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.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))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))
(*.f64 c a)
(*.f64 b b)
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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)))
Outputs
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) (pow.f64 a #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) (pow.f64 a #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 b #s(literal 1/2 binary64)) a (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) a (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) a (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 a) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 a) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) a (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a (neg.f64 a)))
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(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (pow.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))
(*.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) a) #s(literal -1 binary64)))
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) a) #s(literal -2 binary64))
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) a)
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (-.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) a)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (-.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))))
(/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.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(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))))
(neg.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal -1 binary64)))

eval192.0ms (2%)

Memory
24.2MiB live, 255.5MiB allocated
Compiler

Compiled 45 102 to 4 263 computations (90.5% saved)

prune111.0ms (1.2%)

Memory
-27.6MiB live, 106.7MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New1 203121 215
Fresh31619
Picked325
Done112
Total1 210311 241
Accuracy
91.5%
Counts
1 241 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
33.8%
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
2.0%
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
40.2%
(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) b) (*.f64 #s(literal 2 binary64) a))
33.8%
(/.f64 (-.f64 (neg.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))
50.2%
(/.f64 (-.f64 (neg.f64 b) (/.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))
32.2%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
11.7%
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
57.1%
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
27.0%
(/.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))
40.9%
(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
32.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
25.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))
11.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))))
2.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)))
27.1%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
38.8%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
39.0%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
38.8%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
38.9%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
37.1%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b 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))
11.3%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
38.9%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
29.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) (neg.f64 b)))
22.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
30.4%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
30.3%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
30.3%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
14.7%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
11.4%
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
2.5%
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
Compiler

Compiled 1 560 to 1 110 computations (28.8% saved)

simplify279.0ms (2.9%)

Memory
12.5MiB live, 86.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff896
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff0
(*.f64 (/.f64 a b) #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
cost-diff0
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
cost-diff0
(/.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))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 b c))
cost-diff0
(/.f64 b a)
cost-diff0
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051287
074276
1142276
2247274
3438273
4694273
51279273
62707273
74204273
85456273
95765273
105806273
115828273
125842273
136122273
146248273
156248273
166248273
176535273
186759273
196875273
206875273
216875273
06875273
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
(*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
#s(literal -1/2 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)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
#s(literal -1 binary64)
(/.f64 b c)
b
c
(/.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))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
c
Outputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(/.f64 c (neg.f64 b))
#s(literal -1 binary64)
(/.f64 b c)
b
c
(/.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 #s(literal -2 binary64) (/.f64 a b)) c)) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b) (/.f64 #s(literal -1/2 binary64) a))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
c

localize201.0ms (2.1%)

Memory
15.6MiB live, 287.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a))
accuracy17.421008118109572
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
accuracy22.906050635579092
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
accuracy40.085124915697904
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
accuracy0.0078125
(*.f64 (/.f64 a b) #s(literal -2 binary64))
accuracy1.8965136820168518
(/.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))
accuracy4.100324429656262
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
accuracy44.50644710601118
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
accuracy0.0
(/.f64 b c)
accuracy0.22782003162065376
(/.f64 #s(literal -1 binary64) (/.f64 b c))
accuracy44.5369059821727
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
accuracy0.0
(/.f64 b a)
accuracy44.35362730507154
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
accuracy1.4023437500000002
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
accuracy1.8965136820168518
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
accuracy11.394533234160788
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
accuracy22.906050635579092
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
Samples
97.0ms87×2valid
34.0ms70×1valid
27.0ms92×0valid
6.0ms3valid
Compiler

Compiled 532 to 99 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-mult: 56.0ms (42.2% of total)
ival-sqrt: 29.0ms (21.8% of total)
ival-div: 18.0ms (13.6% of total)
adjust: 13.0ms (9.8% of total)
ival-add: 9.0ms (6.8% of total)
ival-sub: 6.0ms (4.5% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
-5.1MiB live, 69.7MiB allocated
Counts
19 → 214
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
(*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
(/.f64 b a)
(/.f64 #s(literal -1 binary64) (/.f64 b c))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
(/.f64 b c)
(/.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))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal -1/2 binary64) a)
(*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
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)
(* -1 b)
(+ (* -1 b) (/ (* a c) b))
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ 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))))))))
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))))))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(/ 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))
(* -2 (/ a b))
(/ -1/2 a)
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -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 (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))
(* 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)))))))
(* 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)))) (* 1/16 (* (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))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b 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)))) (* 1/2 (/ b 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)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -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))))))
(+ (* -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)))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (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)))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))))
(* -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))))))))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) 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))))))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 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)))))
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -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)))
(+ 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)))
(+ (* 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)))))))))
(+ (* -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 (/ c b))
(/ b c)
(- (* -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)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* 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 (- (/ (* a c) (pow b 2)) 1))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 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))
(* 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)))))))
(* 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)))))))
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ 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)
(* 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 (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* (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 (+ (* 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 (/ (* a c) b))
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -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 (* 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 (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(* -1 (/ (- (* 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))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ 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))))))))
(+ 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 (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (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))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 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 (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -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 (+ (* (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 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -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)))) (* 1/2 (/ b (* a 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)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -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 (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) 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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ 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)))))
(* -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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
Calls

9 calls:

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

simplify263.0ms (2.7%)

Memory
4.6MiB live, 243.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08756188
128706113
084255806
Stop Event
iter limit
node limit
Counts
214 → 213
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1 b)
(+ (* -1 b) (/ (* a c) b))
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ 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))))))))
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))))))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(/ 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))
(* -2 (/ a b))
(/ -1/2 a)
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -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 (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))
(* 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)))))))
(* 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)))) (* 1/16 (* (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))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b 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)))) (* 1/2 (/ b 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)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -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))))))
(+ (* -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)))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (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)))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))))
(* -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))))))))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) 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))))))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 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)))))
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -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)))
(+ 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)))
(+ (* 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)))))))))
(+ (* -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 (/ c b))
(/ b c)
(- (* -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)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* 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 (- (/ (* a c) (pow b 2)) 1))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 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))
(* 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)))))))
(* 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)))))))
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ 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)
(* 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 (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* (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 (+ (* 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 (/ (* a c) b))
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -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 (* 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 (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(* -1 (/ (- (* 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))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ 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))))))))
(+ 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 (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (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))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 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 (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -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 (+ (* (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 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -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)))) (* 1/2 (/ b (* a 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)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -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 (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) 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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ 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)))))
(* -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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
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 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -1 b)
(neg.f64 b)
(+ (* -1 b) (/ (* a c) b))
(fma.f64 a (/.f64 c b) (neg.f64 b))
(+ (* -1 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 (neg.f64 b))
(+ (* -1 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 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) (*.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 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.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))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (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 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b)
(/ c b)
(/.f64 c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(fma.f64 (fma.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(/ b a)
(/.f64 b a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 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 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b))
(* -2 (/ (* a c) b))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
(* -2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1/2 (/ b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a)) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a)) a)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(fma.f64 (*.f64 (/.f64 (*.f64 b 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 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b 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 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a)
(* 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a)
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b 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 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) 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)))))
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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 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) #s(literal -1/8 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/1024 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 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/128 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 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -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)))

rewrite256.0ms (2.7%)

Memory
-13.1MiB live, 261.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051247
074236
1288234
21795233
08673233
Stop Event
iter limit
node limit
iter limit
Counts
19 → 883
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
(*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
(/.f64 b a)
(/.f64 #s(literal -1 binary64) (/.f64 b c))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
(/.f64 b c)
(/.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))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal -1/2 binary64) a)
(*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
Outputs
(*.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) a) (/.f64 (pow.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) a))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))
(pow.f64 (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) b) b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) b) b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) b) b))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) b) b))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) b) b))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c (*.f64 b b))
(fma.f64 (neg.f64 (*.f64 a c)) #s(literal 4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a c)) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(fabs.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
(pow.f64 (*.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64))
(pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 2 binary64))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(sqrt.f64 (*.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
(exp.f64 (fma.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64))))

eval219.0ms (2.3%)

Memory
-21.4MiB live, 322.2MiB allocated
Compiler

Compiled 39 031 to 4 137 computations (89.4% saved)

prune57.0ms (0.6%)

Memory
-13.4MiB live, 146.3MiB allocated
Pruning

35 alts after pruning (27 fresh and 8 done)

PrunedKeptTotal
New1 106101 116
Fresh61723
Picked055
Done033
Total1 112351 147
Accuracy
91.5%
Counts
1 147 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
33.8%
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
2.0%
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
50.2%
(/.f64 (-.f64 (neg.f64 b) (/.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))
32.2%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
57.1%
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
40.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) b)) a)
33.8%
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)) a)
26.7%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) c)) (/.f64 b a))) (*.f64 #s(literal 2 binary64) a))
27.0%
(/.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))
26.9%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
40.9%
(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
38.8%
(/.f64 #s(approx (* -1/2 (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (fma.f64 a (/.f64 c b) (neg.f64 b))) a)
32.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
11.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))))
33.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))
27.1%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
39.0%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
38.8%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
38.9%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
37.1%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b 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))
11.3%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
38.9%
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
29.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) (neg.f64 b)))
22.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
30.4%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
30.3%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
30.3%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
30.3%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
14.7%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
1.8%
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
11.4%
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
2.5%
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
2.5%
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
4.8%
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
Compiler

Compiled 2 357 to 935 computations (60.3% saved)

regimes125.0ms (1.3%)

Memory
33.5MiB live, 190.2MiB allocated
Counts
56 → 4
Calls
Call 1
Inputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b 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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
(/.f64 #s(approx (* -1/2 (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (fma.f64 a (/.f64 c b) (neg.f64 b))) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.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))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (*.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))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.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))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) c)) (/.f64 b a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) b)) a)
(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.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 (-.f64 (neg.f64 b) (/.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(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b 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))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (neg.f64 b) #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.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(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
Calls

4 calls:

52.0ms
c
39.0ms
a
16.0ms
(/.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))
14.0ms
b
Results
AccuracySegmentsBranch
59.2%2a
88.6%4b
57.1%1c
78.3%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes15.0ms (0.2%)

Memory
0.6MiB live, 39.0MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b 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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
(/.f64 #s(approx (* -1/2 (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (fma.f64 a (/.f64 c b) (neg.f64 b))) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.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))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (*.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))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.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))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) c)) (/.f64 b a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
86.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
-14.2MiB live, 23.9MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b 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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
(/.f64 #s(approx (* -1/2 (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (fma.f64 a (/.f64 c b) (neg.f64 b))) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.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))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (*.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))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.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))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
81.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes38.0ms (0.4%)

Memory
-8.7MiB live, 29.8MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b 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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
(/.f64 #s(approx (* -1/2 (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (fma.f64 a (/.f64 c b) (neg.f64 b))) a)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.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))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (*.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))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
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 (/.f64 c b) (/.f64 b a)))
Calls

2 calls:

29.0ms
(/.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))
8.0ms
b
Results
AccuracySegmentsBranch
52.2%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))
66.8%2b
Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes5.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b 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 (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)) b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (*.f64 #s(approx (- (/ c (* b b)) (/ 1 a)) (/.f64 c (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) 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:

4.0ms
b
Results
AccuracySegmentsBranch
66.7%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b 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:

2.0ms
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
30.4%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))
30.4%1c
30.4%1a
30.4%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes6.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
Outputs
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
Calls

4 calls:

1.0ms
c
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
b
1.0ms
a
Results
AccuracySegmentsBranch
11.4%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))
11.4%1b
11.4%1c
11.4%1a
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes12.0ms (0.1%)

Memory
-31.6MiB live, 12.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

8.0ms
a
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
b
1.0ms
c
Results
AccuracySegmentsBranch
2.5%1b
2.5%1c
2.5%1a
2.5%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))
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch120.0ms (1.2%)

Memory
22.8MiB live, 97.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
7.721214573933414e+64
4.7854448347634783e+67
41.0ms
-1.3228772249451704e-108
-1.179106111739297e-140
53.0ms
-1.2748552477702666e+46
-1.747728522633177e+40
Samples
38.0ms79×2valid
22.0ms276×0valid
20.0ms90×1valid
8.0ms100×0invalid
1.0ms3valid
Compiler

Compiled 1 403 to 1 061 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-sqrt: 28.0ms (43.8% of total)
ival-mult: 14.0ms (21.9% of total)
ival-sub: 8.0ms (12.5% of total)
ival-div: 6.0ms (9.4% of total)
adjust: 5.0ms (7.8% of total)
ival-neg: 3.0ms (4.7% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Memory
3.6MiB live, 41.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.721214573933414e+64
4.7854448347634783e+67
47.0ms
-1.3228772249451704e-108
-1.179106111739297e-140
Samples
7.0ms92×0valid
5.0ms37×1valid
4.0ms50×0invalid
3.0ms15×2valid
Compiler

Compiled 747 to 617 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (36.6% of total)
ival-sub: 3.0ms (22% of total)
ival-div: 2.0ms (14.6% of total)
ival-sqrt: 2.0ms (14.6% of total)
adjust: 1.0ms (7.3% of total)
ival-neg: 1.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-28.9MiB live, 28.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
2.8043104612902893e-99
2.7959083749957434e-96
1.0ms
-1.3228772249451704e-108
-1.179106111739297e-140
Samples
10.0ms128×0valid
3.0ms43×0invalid
Compiler

Compiled 880 to 712 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.1% of total)
ival-sub: 2.0ms (21.6% of total)
ival-div: 1.0ms (10.8% of total)
ival-sqrt: 1.0ms (10.8% of total)
ival-neg: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory
19.0MiB live, 55.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
-8.739019315524598e-292
1.2166135112320385e-303
Samples
14.0ms176×0valid
9.0ms110×0invalid
Compiler

Compiled 537 to 427 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.1% of total)
ival-sub: 3.0ms (20.1% of total)
ival-div: 2.0ms (13.4% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-neg: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-8.739019315524598e-292
1.2166135112320385e-303
Compiler

Compiled 504 to 416 computations (17.5% saved)

simplify50.0ms (0.5%)

Memory
8.8MiB live, 45.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082417
1103417
2117417
3128417
4135417
5137417
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -526958075114315/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.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 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b #s(literal -8123055744494575/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -8123055744494575/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1382821872737233/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))
Outputs
(if (<=.f64 b #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -526958075114315/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (-.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 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -526958075114315/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 #s(approx (+ (* b b) (+ (* (* c a) 4) (* b b))) (*.f64 (*.f64 a #s(literal 4 binary64)) c)) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (if (<=.f64 b #s(literal 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)) a) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b #s(literal -8123055744494575/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) a) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -8123055744494575/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)) a) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -8123055744494575/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1382821872737233/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -8123055744494575/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1382821872737233/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 c b))
#s(approx (* (/ 1/2 a) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (/.f64 b a))

soundness1.1s (11.2%)

Memory
-18.8MiB live, 775.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051247
074236
1288234
21795233
08673233
01451
02351
18151
259148
0809344
042212
065209
1242209
22104209
08246206
011027113
136066853
084156538
05452739
117182710
257682671
081322533
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 709 to 279 computations (60.6% saved)

preprocess115.0ms (1.2%)

Memory
-8.7MiB live, 113.6MiB allocated
Compiler

Compiled 952 to 238 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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