quad2p (problem 3.2.1, positive)

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze123.0ms (1.8%)

Memory
1.3MiB live, 82.7MiB 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
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample1.6s (24.1%)

Memory
39.4MiB live, 1 523.7MiB allocated
Samples
450.0ms5 556×0valid
389.0ms1 307×1valid
232.0ms1 226×2valid
124.0ms1 179×0invalid
38.0ms167×3valid
Precisions
Click to see histograms. Total time spent on operations: 948.0ms
ival-add: 218.0ms (23% of total)
ival-mult: 188.0ms (19.8% of total)
ival-div: 176.0ms (18.6% of total)
ival-sqrt: 115.0ms (12.1% of total)
ival-neg: 101.0ms (10.6% of total)
adjust: 71.0ms (7.5% of total)
ival-sub: 69.0ms (7.3% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain391.0ms (5.8%)

Memory
-76.5MiB live, 189.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-1(-6.949630180855638e-305 1.2929164223813642e-157 2.972133932393395e-149)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
550-0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
60-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
50-1(-5.716681375934013e-275 5.0852432259568865e+38 1.015786589717086e-6)(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
00-0-(*.f64 b_2 b_2)
00-0-a
00-0-(neg.f64 b_2)
00-0-b_2
00-0-(*.f64 a c)
00-0-c
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))oflow-rescue1000
(*.f64 b_2 b_2)overflow77
(*.f64 a c)overflow39
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow100
+.f64(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation550
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue60
(*.f64 b_2 b_2)underflow48
(*.f64 a c)underflow29
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow6
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue60
(*.f64 b_2 b_2)overflow77
(*.f64 a c)overflow39
/.f64(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n40
(*.f64 b_2 b_2)underflow48
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow11
(*.f64 a c)underflow29
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow6
Confusion
Predicted +Predicted -
+1220
-17117
Precision
0.8776978417266187
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12200
-170117
Precision?
0.8776978417266187
Recall?
1.0
Freqs
test
numberfreq
0117
1109
228
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms382×0valid
17.0ms62×2valid
10.0ms66×1valid
1.0ms3valid
Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 8.0ms (22% of total)
ival-div: 7.0ms (19.3% of total)
adjust: 6.0ms (16.5% of total)
ival-sqrt: 5.0ms (13.8% of total)
ival-sub: 4.0ms (11% of total)
ival-add: 3.0ms (8.3% of total)
ival-neg: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess249.0ms (3.7%)

Memory
22.4MiB live, 137.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044118
1150111
2431109
31489109
43978109
55579109
66055109
76643109
86884109
97232109
01013
01713
13512
28412
326812
480112
5150812
6233212
7454912
8545812
9656512
10692212
11727712
12785612
0800212
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify163.0ms (2.4%)

Memory
7.5MiB live, 89.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(neg.f64 b_2)
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
cost-diff1
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01050
01750
13548
28448
326848
480148
5150848
6233248
7454948
8545848
9656548
10692248
11727748
12785648
0800248
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2)
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 a c)
(*.f64 c a)
a
c

localize39.0ms (0.6%)

Memory
-0.4MiB live, 37.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.1953125000000002
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy1.2179870187292587
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy12.677023640475324
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy24.84882416393284
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
19.0ms191×0valid
6.0ms31×2valid
5.0ms33×1valid
0.0ms3valid
Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 4.0ms (25.8% of total)
ival-sqrt: 3.0ms (19.3% of total)
ival-sub: 2.0ms (12.9% of total)
ival-div: 2.0ms (12.9% of total)
adjust: 2.0ms (12.9% of total)
ival-add: 2.0ms (12.9% of total)
ival-neg: 1.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-17.8MiB live, 20.2MiB allocated
Counts
5 → 98
Calls
Call 1
Inputs
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(neg.f64 b_2)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
Outputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
c
@0
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
3.0ms
a
@-inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
b_2
@inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
a
@inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
c
@inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify87.0ms (1.3%)

Memory
-0.7MiB live, 79.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05082818
017842683
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
98 → 97
Calls
Call 1
Inputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* -1/2 (/ (* a c) b_2))
(*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
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(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a)))

rewrite181.0ms (2.7%)

Memory
24.1MiB live, 134.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041
01741
17039
255238
3765938
0846438
Stop Event
iter limit
node limit
iter limit
Counts
5 → 532
Calls
Call 1
Inputs
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(neg.f64 b_2)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
Outputs
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) (pow.f64 b_2 #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(*.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(*.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))))
(*.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (pow.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64))))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64))) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64))) (fma.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) (pow.f64 (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) (*.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))))) (*.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (fma.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) (-.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 c) a (fma.f64 b_2 b_2 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))))
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(+.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (/.f64 b_2 a))
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 #s(literal 1 binary64) b_2)
(*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(*.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 b_2 #s(literal -1 binary64))
(*.f64 b_2 #s(literal 1 binary64))
(pow.f64 (*.f64 b_2 b_2) #s(literal 1/2 binary64))
(pow.f64 b_2 #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 b_2 b_2))
(/.f64 (*.f64 b_2 b_2) b_2)
(neg.f64 b_2)
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 #s(literal 0 binary64))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b_2 #s(literal 0 binary64))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal 0 binary64))
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) #s(literal 0 binary64))
(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 b_2 #s(literal 1 binary64) #s(literal 0 binary64))
(sqrt.f64 (*.f64 b_2 b_2))
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2)
(-.f64 #s(literal 0 binary64) b_2)
(fabs.f64 (-.f64 b_2 #s(literal 0 binary64)))
(fabs.f64 b_2)
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b_2
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(pow.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
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(pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
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(fma.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
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(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(fabs.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (sinh.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 0 binary64))
(exp.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a))))
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))))
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(*.f64 (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64))) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)))
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(*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)))))
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(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a))) (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (*.f64 c #s(literal -1 binary64)) a (*.f64 b_2 b_2))
(fma.f64 (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (neg.f64 a) c))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) c))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) (*.f64 b_2 b_2))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (/.f64 (*.f64 b_2 b_2) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (/.f64 (*.f64 b_2 b_2) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 a) c))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 a) c))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(sqrt.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)))
(-.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (sinh.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 c a (*.f64 b_2 b_2)))
(-.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a))
(-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (neg.f64 c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fabs.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(hypot.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 c a))) (*.f64 b_2 b_2))
(hypot.f64 (fabs.f64 (*.f64 c a)) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 c a) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 b_2 b_2) (pow.f64 (*.f64 c a) #s(literal 1 binary64)))
(hypot.f64 (*.f64 b_2 b_2) (neg.f64 (fabs.f64 (*.f64 c a))))
(hypot.f64 (*.f64 b_2 b_2) (fabs.f64 (*.f64 c a)))
(hypot.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(hypot.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (sinh.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))

eval80.0ms (1.2%)

Memory
5.8MiB live, 89.6MiB allocated
Compiler

Compiled 20 420 to 2 463 computations (87.9% saved)

prune17.0ms (0.3%)

Memory
3.2MiB live, 40.0MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New61711628
Fresh000
Picked011
Done000
Total61712629
Accuracy
89.2%
Counts
629 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a (*.f64 a b_2)) (*.f64 a a))
22.3%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
54.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
28.6%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
5.0%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))) a)
24.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
38.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
26.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
27.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
37.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
Compiler

Compiled 451 to 314 computations (30.4% saved)

simplify100.0ms (1.5%)

Memory
-13.0MiB live, 70.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
cost-diff0
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
cost-diff0
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b_2)
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
cost-diff3
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
cost-diff0
(/.f64 (*.f64 c a) b_2)
cost-diff0
(*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
cost-diff0
(/.f64 c b_2)
cost-diff0
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) b_2)
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038259
059259
1113253
2290251
31042247
44649247
57105247
67999247
08003245
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
b_2
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))
(/.f64 (*.f64 c a) b_2)
(*.f64 c a)
c
a
b_2
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(neg.f64 b_2)
b_2
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 c (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
#s(literal 1 binary64)
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
a
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
b_2
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
b_2
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))
(/.f64 (*.f64 c a) b_2)
(*.f64 (/.f64 c b_2) a)
(*.f64 c a)
c
a
b_2
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(neg.f64 b_2)
b_2
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 c (*.f64 b_2 b_2))
(/.f64 (/.f64 c b_2) b_2)
c
(*.f64 b_2 b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
#s(literal 1 binary64)
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
a
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
b_2

localize83.0ms (1.2%)

Memory
1.9MiB live, 113.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
accuracy0.09375
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
accuracy0.49999449521112044
(fma.f64 c a (*.f64 b_2 b_2))
accuracy6.63309651659179
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy0.20326765527529592
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
accuracy2.631380032587463
(/.f64 c (*.f64 b_2 b_2))
accuracy5.883363725212921
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
accuracy23.156981601005135
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
accuracy0.0
(*.f64 c a)
accuracy0.078125
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
accuracy2.367538739948732
(/.f64 (*.f64 c a) b_2)
accuracy23.192541383826214
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64)))
accuracy0.0
(/.f64 c b_2)
accuracy0.0
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy23.212100633823308
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy0.0
(*.f64 #s(literal -2 binary64) b_2)
accuracy0.078125
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy23.121115171508634
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
Samples
39.0ms160×0invalid
20.0ms96×0valid
Compiler

Compiled 484 to 71 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 14.0ms (37.5% of total)
ival-div: 11.0ms (29.5% of total)
ival-add: 3.0ms (8% of total)
ival-sqrt: 3.0ms (8% of total)
ival-neg: 3.0ms (8% of total)
ival-sub: 2.0ms (5.4% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series73.0ms (1.1%)

Memory
17.8MiB live, 94.6MiB allocated
Counts
21 → 201
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))
(/.f64 (*.f64 c a) b_2)
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(neg.f64 b_2)
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 c a)
(/.f64 c (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (* a c) b_2)
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(/ a (- (* b_2 (sqrt -1)) b_2))
(* a (+ (* -1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(* a (+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* 1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- (* b_2 (sqrt -1)) b_2) 3)))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2)
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* a c)
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a (+ c (/ (pow b_2 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 4)))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* a b_2) (* c (pow (sqrt -1) 4))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5))))) a)) (* -1 (/ (* a b_2) (* c (pow (sqrt -1) 4))))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(* -1 b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(/ c (pow b_2 2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (* b_2 (- (sqrt -1) 1)) a)
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))
(/ a (* b_2 (- (sqrt -1) 1)))
(/ (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))) (/ a (- (sqrt -1) 1))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- (sqrt -1) 1) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2)))) (pow b_2 4))) (/ a (- (sqrt -1) 1))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2))))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- (sqrt -1) 1) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))))))) (- (sqrt -1) 1))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (- (sqrt -1) 1) 3))))) (pow b_2 6))) (/ a (- (sqrt -1) 1))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2))))))) b_2)
(* b_2 (- (sqrt -1) 1))
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(* -1 (/ a (* b_2 (+ 1 (sqrt -1)))))
(* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))) (/ a (+ 1 (sqrt -1)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2)))) (pow b_2 4))) (/ a (+ 1 (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))))) (+ 1 (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))))) (pow b_2 6))) (/ a (+ 1 (sqrt -1)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))) b_2))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (/ a (- (* b_2 (sqrt -1)) b_2)))
(+ (* c (- (* -1 (* c (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ a (- (* b_2 (sqrt -1)) b_2)))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* 1/16 (/ (* (pow a 4) (sqrt -1)) (* (pow b_2 5) (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/16 (/ (* (pow a 4) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- (* b_2 (sqrt -1)) b_2) 3)))))))) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ a (- (* b_2 (sqrt -1)) b_2)))
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2)
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))))) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 4))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (/ (* b_2 c) (pow (sqrt -1) 4))) c)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) (* a (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)) (/ (* b_2 c) (pow (sqrt -1) 4))) c)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
b_2
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ (* c a) b_2) -1/2) (/ (* c a) b_2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ 1 (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* c a) (/ c (* b_2 b_2)) (+ (* c a) (* b_2 b_2)))
15.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ (* c a) b_2) -1/2) (/ (* c a) b_2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ 1 (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* c a) (/ c (* b_2 b_2)) (+ (* c a) (* b_2 b_2)))
6.0ms
a
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ (* c a) b_2) -1/2) (/ (* c a) b_2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ 1 (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* c a) (/ c (* b_2 b_2)) (+ (* c a) (* b_2 b_2)))
6.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ (* c a) b_2) -1/2) (/ (* c a) b_2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ 1 (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* c a) (/ c (* b_2 b_2)) (+ (* c a) (* b_2 b_2)))
6.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ (* c a) b_2) -1/2) (/ (* c a) b_2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ 1 (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (/ a (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* c a) (/ c (* b_2 b_2)) (+ (* c a) (* b_2 b_2)))

simplify138.0ms (2%)

Memory
-8.2MiB live, 181.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011407009
041526714
Stop Event
iter limit
iter limit
node limit
Counts
201 → 201
Calls
Call 1
Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (* a c) b_2)
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(/ a (- (* b_2 (sqrt -1)) b_2))
(* a (+ (* -1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(* a (+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* 1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- (* b_2 (sqrt -1)) b_2) 3)))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2)
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* a c)
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a (+ c (/ (pow b_2 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 4)))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* a b_2) (* c (pow (sqrt -1) 4))))) a)))
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(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(* -1 b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(/ c (pow b_2 2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (* b_2 (- (sqrt -1) 1)) a)
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))
(/ a (* b_2 (- (sqrt -1) 1)))
(/ (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))) (/ a (- (sqrt -1) 1))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- (sqrt -1) 1) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2)))) (pow b_2 4))) (/ a (- (sqrt -1) 1))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2))))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- (sqrt -1) 1) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))))))) (- (sqrt -1) 1))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (- (sqrt -1) 1) 3))))) (pow b_2 6))) (/ a (- (sqrt -1) 1))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2))))))) b_2)
(* b_2 (- (sqrt -1) 1))
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(* -1 (/ a (* b_2 (+ 1 (sqrt -1)))))
(* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))) (/ a (+ 1 (sqrt -1)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2)))) (pow b_2 4))) (/ a (+ 1 (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))))) (+ 1 (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))))) (pow b_2 6))) (/ a (+ 1 (sqrt -1)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))) b_2))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (/ a (- (* b_2 (sqrt -1)) b_2)))
(+ (* c (- (* -1 (* c (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ a (- (* b_2 (sqrt -1)) b_2)))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* 1/16 (/ (* (pow a 4) (sqrt -1)) (* (pow b_2 5) (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/16 (/ (* (pow a 4) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- (* b_2 (sqrt -1)) b_2) 3)))))))) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ a (- (* b_2 (sqrt -1)) b_2)))
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2)
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))))) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 4))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (/ (* b_2 c) (pow (sqrt -1) 4))) c)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) (* a (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)) (/ (* b_2 c) (pow (sqrt -1) 4))) c)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(/ (* a c) b_2)
(*.f64 a (/.f64 c b_2))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) a)
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(/ a (- (* b_2 (sqrt -1)) b_2))
(/.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))
(* a (+ (* -1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(* a (+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* 1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- (* b_2 (sqrt -1)) b_2) 3)))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- (* b_2 (sqrt -1)) b_2) 3)))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2))))))) (* 1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) #s(literal -1/8 binary64)))) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) b_2)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 3 binary64))))))) (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) #s(literal -1/8 binary64))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(- (* b_2 (sqrt -1)) b_2)
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2)
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))
(* b_2 (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(* a c)
(*.f64 c a)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* a c) (pow b_2 2))
(fma.f64 c a (*.f64 b_2 b_2))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)) 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 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b_2 b_2) c) a)))

rewrite192.0ms (2.8%)

Memory
13.6MiB live, 212.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038224
059222
1228216
21694216
08292216
Stop Event
iter limit
node limit
iter limit
Counts
21 → 723
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))
(/.f64 (*.f64 c a) b_2)
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(neg.f64 b_2)
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 c a)
(/.f64 c (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
Outputs
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
(*.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) a))
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
(*.f64 b_2 #s(literal -2 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 c (*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) c)
(*.f64 (neg.f64 c) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 c b_2))
(*.f64 c (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 c) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 c))
(/.f64 c b_2)
(neg.f64 (/.f64 (neg.f64 c) b_2))
(neg.f64 (/.f64 c (neg.f64 b_2)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 c (neg.f64 b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a))
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))) a))
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) (neg.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 c) a) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (*.f64 (neg.f64 c) a) b_2) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 (neg.f64 c) a) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 a b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 c) a) b_2))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 c a) (*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b_2)))
(*.f64 c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 b_2 (*.f64 (*.f64 c a) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 c) a) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 c) a))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (*.f64 (neg.f64 c) a) #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 c) a)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64))) (neg.f64 b_2))
(/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) b_2)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 b_2 c) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 (*.f64 c a) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b_2 c) a))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (*.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) b_2))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 a b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c b_2))
(*.f64 (/.f64 a b_2) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (/.f64 a b_2) c)
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 c a))
(*.f64 (*.f64 (neg.f64 c) a) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
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(*.f64 c a)
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) b_2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b_2))) (neg.f64 (neg.f64 (neg.f64 b_2))) (*.f64 c a))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) b_2 (*.f64 c a))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 b_2) b_2)) (sqrt.f64 (*.f64 (neg.f64 b_2) b_2)) (*.f64 c a))
(fma.f64 (sqrt.f64 (neg.f64 b_2)) (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 c a))
(fma.f64 (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (neg.f64 b_2)) (*.f64 c a))
(fma.f64 (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 b_2) (*.f64 c a))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 c a))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(fma.f64 (*.f64 (neg.f64 b_2) #s(literal -1 binary64)) b_2 (*.f64 c a))
(fma.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 (neg.f64 b_2)) (*.f64 c a))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b_2) b_2) (*.f64 c a))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 c a))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 c a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 c a))
(fma.f64 c a (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 b_2 b_2 (*.f64 c a))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) b_2))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) b_2))))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) a))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) b_2))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2)))))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 (neg.f64 c) a) (*.f64 c a)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (/.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (*.f64 (*.f64 (neg.f64 b_2) b_2) (*.f64 b_2 b_2)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(+.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 c a) (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(+.f64 (*.f64 c a) (*.f64 b_2 b_2))

eval161.0ms (2.4%)

Memory
4.7MiB live, 243.0MiB allocated
Compiler

Compiled 32 026 to 4 311 computations (86.5% saved)

prune35.0ms (0.5%)

Memory
5.1MiB live, 82.5MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New90815923
Fresh156
Picked235
Done011
Total91124935
Accuracy
89.2%
Counts
935 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a (*.f64 a b_2)) (*.f64 a a))
22.3%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
54.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
5.0%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))) a)
25.9%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b_2 c) a))) a)
23.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
26.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
38.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
26.1%
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
26.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
11.5%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
17.7%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
37.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
27.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 b_2 c))) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
38.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
38.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
24.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
6.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
Compiler

Compiled 1 065 to 746 computations (30% saved)

simplify115.0ms (1.7%)

Memory
-19.0MiB live, 67.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
cost-diff2
(/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
cost-diff2
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
cost-diff3
(/.f64 (neg.f64 b_2) (*.f64 b_2 b_2))
cost-diff0
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
cost-diff0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
cost-diff2
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)
cost-diff0
(*.f64 #s(literal -2 binary64) b_2)
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff0
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
cost-diff0
(/.f64 c b_2)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
cost-diff0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff0
(/.f64 c b_2)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
cost-diff0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046400
067383
1140376
2412342
31848342
44791342
57430342
08019342
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
b_2
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
b_2
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
#s(literal 1 binary64)
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
a
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
(/.f64 (*.f64 b_2 b_2) a)
(*.f64 b_2 b_2)
b_2
a
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
#s(literal 1 binary64)
(/.f64 (neg.f64 b_2) (*.f64 b_2 b_2))
(neg.f64 b_2)
b_2
(*.f64 b_2 b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
b_2
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
b_2
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(literal 1 binary64)
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
a
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
(fma.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
(/.f64 (*.f64 b_2 b_2) a)
(*.f64 (/.f64 b_2 a) b_2)
(*.f64 b_2 b_2)
b_2
a
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
#s(literal 1 binary64)
(/.f64 (neg.f64 b_2) (*.f64 b_2 b_2))
(/.f64 #s(literal -1 binary64) b_2)
(neg.f64 b_2)
b_2
(*.f64 b_2 b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 b_2 a)
a
#s(literal -2 binary64)

localize322.0ms (4.8%)

Memory
-0.3MiB live, 130.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy0.32474335416844924
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy29.26157576527184
(/.f64 (neg.f64 b_2) (*.f64 b_2 b_2))
accuracy39.33337677060971
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
accuracy0.00390625
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
accuracy8.768358908992486
(/.f64 (*.f64 b_2 b_2) a)
accuracy9.999899854792499
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)
accuracy39.33337677060971
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
accuracy0.0
(*.f64 #s(literal -2 binary64) b_2)
accuracy0.23046875
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
accuracy1.2257768770043287
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
accuracy39.46165475415586
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy0.0
(/.f64 c b_2)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy39.33337677060971
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy39.71426793098225
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy0.0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
accuracy0.0078125
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy0.0078125
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy39.33337677060971
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
Samples
118.0ms191×0valid
116.0ms31×2valid
15.0ms33×1valid
1.0ms3valid
Compiler

Compiled 671 to 87 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-div: 188.0ms (83.9% of total)
ival-mult: 17.0ms (7.6% of total)
ival-add: 7.0ms (3.1% of total)
adjust: 4.0ms (1.8% of total)
ival-sqrt: 3.0ms (1.3% of total)
ival-sub: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory
15.7MiB live, 51.2MiB allocated
Counts
21 → 109
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 c b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
(/.f64 (neg.f64 b_2) (*.f64 b_2 b_2))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 b_2 b_2) a)
Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -2 (/ (pow b_2 2) a))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(/ (pow b_2 2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* 1/2 c)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(/ -1 b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* -1/2 c)
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
b_2
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (/ (neg b_2) (* b_2 b_2)) (+ (* (/ (* -1/2 c) 1) (/ (neg b_2) (* b_2 b_2))) (* (/ b_2 a) -2)) (/ (* -1/2 c) 1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ (* b_2 b_2) a))
4.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (/ (neg b_2) (* b_2 b_2)) (+ (* (/ (* -1/2 c) 1) (/ (neg b_2) (* b_2 b_2))) (* (/ b_2 a) -2)) (/ (* -1/2 c) 1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ (* b_2 b_2) a))
4.0ms
b_2
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (/ (neg b_2) (* b_2 b_2)) (+ (* (/ (* -1/2 c) 1) (/ (neg b_2) (* b_2 b_2))) (* (/ b_2 a) -2)) (/ (* -1/2 c) 1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ (* b_2 b_2) a))
4.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (/ (neg b_2) (* b_2 b_2)) (+ (* (/ (* -1/2 c) 1) (/ (neg b_2) (* b_2 b_2))) (* (/ b_2 a) -2)) (/ (* -1/2 c) 1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ (* b_2 b_2) a))
4.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (/ (neg b_2) (* b_2 b_2)) (+ (* (/ (* -1/2 c) 1) (/ (neg b_2) (* b_2 b_2))) (* (/ b_2 a) -2)) (/ (* -1/2 c) 1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ (* b_2 b_2) a))

simplify171.0ms (2.5%)

Memory
3.3MiB live, 75.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07053060
025772923
Stop Event
iter limit
iter limit
node limit
Counts
109 → 109
Calls
Call 1
Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -2 (/ (pow b_2 2) a))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(/ (pow b_2 2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* 1/2 c)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(/ -1 b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* -1/2 c)
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) a (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b_2 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) (*.f64 c c))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c)) (*.f64 b_2 b_2)))) a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b_2)) a (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* -2 (/ (pow b_2 2) a))
(*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(/.f64 (fma.f64 (*.f64 b_2 b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) a)
(/ (pow b_2 2) a)
(/.f64 (*.f64 b_2 b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))))
(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) c)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (*.f64 a a)))) (/.f64 (neg.f64 b_2) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) c)))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (neg.f64 (/.f64 (fma.f64 (*.f64 b_2 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) c)))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)))) a)
(* 1/2 c)
(*.f64 #s(literal 1/2 binary64) c)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a) #s(literal -1 binary64) b_2) a)))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 a (/.f64 b_2 c))))) a)))
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(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2 binary64) b_2)) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b_2 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) a)) #s(literal -2 binary64) (fma.f64 (*.f64 a (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 b_2 b_2))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))))) c)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2 binary64) b_2)) c)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 c a))) c)
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c)
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 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 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))) c)
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c)
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (*.f64 c c)))) (/.f64 (neg.f64 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 b_2 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) a)) #s(literal 1/2 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) c)
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c)))) c)
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) a) c) #s(literal -2 binary64) #s(literal 1/2 binary64)) c)
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c))) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c))) c))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)) c))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) b_2) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (neg.f64 (*.f64 c b_2))) c))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) b_2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) c) a) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) c)) (*.f64 c b_2)) c))) c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (neg.f64 b_2)) c))) c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) c)) b_2) c))) c))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) a) c) #s(literal 2 binary64) #s(literal -1/2 binary64)) c))

rewrite203.0ms (3%)

Memory
-5.5MiB live, 197.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046349
067336
1274328
22377297
09536297
Stop Event
iter limit
node limit
iter limit
Counts
21 → 654
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 c b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c))
(/.f64 (neg.f64 b_2) (*.f64 b_2 b_2))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 b_2 b_2) a)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) b_2)
(*.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) a) (*.f64 b_2 a)) (/.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) a)) b_2))
(-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 b_2 b_2)) (*.f64 a (*.f64 b_2 b_2))) (/.f64 (*.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (*.f64 a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a))))) (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) b_2) (*.f64 a b_2)) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)) (*.f64 a b_2)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) a) (*.f64 (*.f64 b_2 b_2) a)) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -2 binary64) b_2)) (*.f64 (*.f64 b_2 b_2) a)))
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a) (*.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) b_2)) (*.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) a) (*.f64 b_2 a)) (/.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 b_2 a)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))) (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))))
(+.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 c #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) c) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) c)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))
(neg.f64 (*.f64 #s(literal 1/2 binary64) c))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) c))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(*.f64 (*.f64 b_2 #s(literal 2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) #s(literal -1 binary64)) b_2)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 (*.f64 #s(literal -2 binary64) b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 b_2 (/.f64 #s(literal 2 binary64) a))
(pow.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) b_2)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 #s(literal 2 binary64) b_2) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 a b_2)))
(/.f64 b_2 (neg.f64 (*.f64 a #s(literal 1/2 binary64))))
(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 b_2 b_2))
(*.f64 (*.f64 b_2 b_2) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (*.f64 b_2 b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 a) b_2))
(*.f64 (/.f64 b_2 a) b_2)
(*.f64 b_2 (/.f64 b_2 a))
(pow.f64 (/.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b_2 b_2))))
(/.f64 (*.f64 b_2 b_2) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (*.f64 b_2 b_2) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 b_2 b_2) (neg.f64 a))
(/.f64 (*.f64 b_2 b_2) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 b_2 b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 b_2)))
(/.f64 b_2 (neg.f64 (/.f64 a b_2)))
(/.f64 b_2 (/.f64 a b_2))
(neg.f64 (*.f64 (/.f64 b_2 a) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a b_2)) (*.f64 (/.f64 b_2 a) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 b_2 a) b_2))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 b_2))) #s(literal -1 binary64)))

eval198.0ms (2.9%)

Memory
-4.1MiB live, 175.3MiB allocated
Compiler

Compiled 30 688 to 3 046 computations (90.1% saved)

prune91.0ms (1.3%)

Memory
-11.6MiB live, 131.2MiB allocated
Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New68221703
Fresh21315
Picked235
Done044
Total68641727
Accuracy
89.4%
Counts
727 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a (*.f64 a b_2)) (*.f64 a a))
22.3%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
54.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
23.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
26.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
38.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
38.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a))
28.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
28.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) c)))
26.1%
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
26.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
20.0%
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
11.5%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
17.7%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
2.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 #s(literal 2 binary64) a) b_2)))
1.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 b_2) #s(literal -1 binary64))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
37.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
27.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 b_2 c))) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
38.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
38.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
2.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
38.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
38.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
15.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a)))))))
22.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2) b_2)))
17.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 b_2 b_2))))
1.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))))
23.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
17.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 b_2 (*.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2)))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))))
22.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2)) #s(literal -1 binary64)) b_2)))
6.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
6.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
14.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 (fma.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)))) #s(literal -1 binary64)))))
Compiler

Compiled 2 297 to 1 550 computations (32.5% saved)

simplify143.0ms (2.1%)

Memory
4.7MiB live, 79.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
cost-diff0
(pow.f64 a #s(literal -1 binary64))
cost-diff2
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
cost-diff0
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
cost-diff0
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
cost-diff0
(/.f64 #s(literal -1 binary64) a)
cost-diff2
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
cost-diff0
#s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)
cost-diff0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff0
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
cost-diff0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
cost-diff0
(/.f64 #s(literal -2 binary64) a)
cost-diff0
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052419
075419
1152413
2388405
31336386
44229386
57095386
67812386
08004382
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
b_2
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 c b_2)
c
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
c
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))
(/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)
#s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))
(/.f64 (*.f64 b_2 b_2) a)
(*.f64 b_2 b_2)
b_2
a
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
b_2
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 a (/.f64 c b_2))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)))
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2))
b_2
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 c b_2)
c
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
c
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))
(/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)
#s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))
(/.f64 (*.f64 b_2 b_2) a)
(*.f64 b_2 b_2)
b_2
a
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
b_2
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))
(*.f64 a (/.f64 c b_2))
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)

localize131.0ms (1.9%)

Memory
21.9MiB live, 174.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
accuracy0.139003759768442
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
accuracy2.3694072593084052
(*.f64 a (/.f64 c b_2))
accuracy23.192541383826214
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
accuracy0.0078125
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
accuracy0.135097509768442
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy0.49999449521112044
(fma.f64 c a (*.f64 b_2 b_2))
accuracy6.63309651659179
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy0.00390625
(/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)
accuracy3.046972062879979
(/.f64 (*.f64 b_2 b_2) a)
accuracy22.898204783210286
#s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64)))
accuracy23.156981601005135
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) b_2)
accuracy0.32083710416844924
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
accuracy0.8706151638195383
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
accuracy23.156981601005135
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
accuracy0.0
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy0.0
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
accuracy0.00390625
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy23.156981601005135
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
Samples
57.0ms160×0invalid
45.0ms96×0valid
Compiler

Compiled 691 to 100 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 37.0ms (45.4% of total)
ival-div: 24.0ms (29.5% of total)
ival-add: 6.0ms (7.4% of total)
ival-pow: 5.0ms (6.1% of total)
ival-sqrt: 3.0ms (3.7% of total)
ival-neg: 3.0ms (3.7% of total)
ival-sub: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory
-5.2MiB live, 79.6MiB allocated
Counts
24 → 176
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))
(/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)
#s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 #s(literal -1 binary64) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
(pow.f64 a #s(literal -1 binary64))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 b_2) a)
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 a (/.f64 c b_2))
Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ -2 a)
(* -2 (/ (pow b_2 2) a))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(* -1 (/ (- b_2 (* b_2 (sqrt -1))) a))
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* 1/2 (/ (* a (* c (sqrt -1))) b_2))) a)
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) a)
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5)))))))) a)
(/ -1 a)
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(/ 1 a)
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (pow b_2 2) a)
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(/ (* a c) b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 c)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1 (/ (* b_2 (- 1 (sqrt -1))) a))
(* b_2 (+ (* -1 (/ (- 1 (sqrt -1)) a)) (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2)))))
(* b_2 (+ (* -1 (/ (- 1 (sqrt -1)) a)) (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))))))
(* b_2 (+ (* -1 (/ (- 1 (sqrt -1)) a)) (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2)))))))
(* b_2 (- 1 (sqrt -1)))
(* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))
(* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(* b_2 (+ 1 (sqrt -1)))
(* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ (* -1 (/ (- b_2 (* b_2 (sqrt -1))) a)) (* 1/2 (/ (* c (sqrt -1)) b_2)))
(+ (* -1 (/ (- b_2 (* b_2 (sqrt -1))) a)) (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))))
(+ (* -1 (/ (- b_2 (* b_2 (sqrt -1))) a)) (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))))
(- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* c (/ 1/2 b_2)) (/ 1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (* (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* (/ c b_2) 1/2) (/ (* b_2 b_2) a) (+ (* c a) (* b_2 b_2)) (* a (/ c b_2)))
7.0ms
a
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* c (/ 1/2 b_2)) (/ 1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (* (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* (/ c b_2) 1/2) (/ (* b_2 b_2) a) (+ (* c a) (* b_2 b_2)) (* a (/ c b_2)))
4.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* c (/ 1/2 b_2)) (/ 1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (* (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* (/ c b_2) 1/2) (/ (* b_2 b_2) a) (+ (* c a) (* b_2 b_2)) (* a (/ c b_2)))
4.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* c (/ 1/2 b_2)) (/ 1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (* (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* (/ c b_2) 1/2) (/ (* b_2 b_2) a) (+ (* c a) (* b_2 b_2)) (* a (/ c b_2)))
3.0ms
a
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (* c (/ 1/2 b_2)) (/ 1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (* (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ -1 a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* (/ c b_2) 1/2) (/ (* b_2 b_2) a) (+ (* c a) (* b_2 b_2)) (* a (/ c b_2)))

simplify107.0ms (1.6%)

Memory
7.8MiB live, 83.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08404888
029984674
Stop Event
iter limit
iter limit
node limit
Counts
176 → 176
Calls
Call 1
Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ -2 a)
(* -2 (/ (pow b_2 2) a))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(* -1 (/ (- b_2 (* b_2 (sqrt -1))) a))
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* 1/2 (/ (* a (* c (sqrt -1))) b_2))) a)
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) a)
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5)))))))) a)
(/ -1 a)
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(/ 1 a)
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (pow b_2 2) a)
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(/ (* a c) b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 c)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1 (/ (* b_2 (- 1 (sqrt -1))) a))
(* b_2 (+ (* -1 (/ (- 1 (sqrt -1)) a)) (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2)))))
(* b_2 (+ (* -1 (/ (- 1 (sqrt -1)) a)) (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))))))
(* b_2 (+ (* -1 (/ (- 1 (sqrt -1)) a)) (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2)))))))
(* b_2 (- 1 (sqrt -1)))
(* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))
(* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(* b_2 (+ 1 (sqrt -1)))
(* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ (* -1 (/ (- b_2 (* b_2 (sqrt -1))) a)) (* 1/2 (/ (* c (sqrt -1)) b_2)))
(+ (* -1 (/ (- b_2 (* b_2 (sqrt -1))) a)) (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))))
(+ (* -1 (/ (- b_2 (* b_2 (sqrt -1))) a)) (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))))
(- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* -2 (/ (pow b_2 2) a))
(*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(/.f64 (fma.f64 (*.f64 b_2 b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) a)
(* -1 (/ (- b_2 (* b_2 (sqrt -1))) a))
(neg.f64 (/.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a))
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* 1/2 (/ (* a (* c (sqrt -1))) b_2))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (neg.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a)
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (neg.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a)
(/ (+ (* -1 (- b_2 (* b_2 (sqrt -1)))) (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (neg.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(- b_2 (* b_2 (sqrt -1)))
(-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal -1/2 binary64) b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
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(*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c)
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)))))) c)
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) c)
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (/.f64 b_2 c)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) c)
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c)))) c)
(* c (+ a (/ (pow b_2 2) c)))
(*.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) a) c) #s(literal 2 binary64) #s(literal -1/2 binary64)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 b_2 a) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b_2) c) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) c)) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) b_2) c)) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (neg.f64 b_2)) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c)) b_2) c))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b_2 b_2) c) a)))

rewrite241.0ms (3.6%)

Memory
-9.2MiB live, 180.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052373
075373
1291365
22278365
09012355
Stop Event
iter limit
node limit
iter limit
Counts
24 → 497
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))
(/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)
#s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 #s(literal -1 binary64) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
(pow.f64 a #s(literal -1 binary64))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 b_2) a)
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 a (/.f64 c b_2))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) b_2) b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) b_2) (/.f64 b_2 c)) (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 c)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (/.f64 b_2 c)) (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 c)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2)) (*.f64 a (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) (*.f64 a (neg.f64 b_2)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) b_2) (*.f64 a (*.f64 #s(literal -1/2 binary64) c))) (*.f64 a b_2))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 b_2 c)) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (/.f64 b_2 c)))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 b_2 c)) (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 c)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b_2)) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2)))
(/.f64 (-.f64 b_2 (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) b_2))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 b_2 c)) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1/2 binary64))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (/.f64 b_2 c)))
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) b_2) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (neg.f64 b_2)))
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) (*.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 b_2 c)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 #s(literal 1 binary64) c))) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 c #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (/.f64 b_2 c) (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 c)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 c) a)) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 #s(literal 1 binary64) c))) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 c #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (/.f64 b_2 c) (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 c)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 c) a)) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal 1 binary64) c))) (*.f64 a (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 a (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal 1 binary64)))) (*.f64 a (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 a (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 a (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 #s(literal -1/2 binary64) c))) (*.f64 a (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (/.f64 b_2 c)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 c a)) (*.f64 a (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 #s(literal 1 binary64) c))) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 c #s(literal 1 binary64)))) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 b_2 c) (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) (/.f64 b_2 c)))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (neg.f64 c) a)) (*.f64 (neg.f64 a) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 #s(literal 1 binary64) c))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b_2) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 c #s(literal 1 binary64)))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b_2) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b_2) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b_2) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 (+.f64 b_2 (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) b_2))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 b_2 c) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1/2 binary64))) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (/.f64 b_2 c)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) c)) (*.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 b_2 (*.f64 b_2 #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) c))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 b_2) b_2 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (neg.f64 b_2)))
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(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
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(/.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 b_2))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
(/.f64 c (*.f64 b_2 #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 b_2) (pow.f64 a #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 b_2) (pow.f64 a #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (*.f64 b_2 (pow.f64 a #s(literal -1/2 binary64)))) (neg.f64 (*.f64 b_2 (pow.f64 a #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 b_2) (pow.f64 a #s(literal -1/2 binary64)))) (fabs.f64 (*.f64 (neg.f64 b_2) (pow.f64 a #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 b_2 (pow.f64 a #s(literal -1/2 binary64)))) (fabs.f64 (*.f64 b_2 (pow.f64 a #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 b_2 b_2) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 b_2) (pow.f64 a #s(literal -1/2 binary64))) (*.f64 (neg.f64 b_2) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (*.f64 b_2 (pow.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 b_2 a) b_2)
(*.f64 (*.f64 (neg.f64 b_2) b_2) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 b_2 b_2))
(*.f64 (*.f64 b_2 b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (neg.f64 b_2) (/.f64 (neg.f64 b_2) a))
(*.f64 b_2 (/.f64 b_2 a))
(pow.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (neg.f64 b_2)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) b_2) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 b_2) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 b_2 (pow.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 b_2) b_2) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 b_2)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b_2 b_2))))
(/.f64 (*.f64 b_2 b_2) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 b_2 b_2) a)
(neg.f64 (/.f64 (*.f64 (neg.f64 b_2) b_2) a))
(fabs.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (neg.f64 b_2) b_2)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 b_2) b_2) (pow.f64 a #s(literal -1 binary64))))
(fabs.f64 (/.f64 (*.f64 b_2 b_2) a))
(exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (*.f64 (log.f64 b_2) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 b_2) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 b_2))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) b_2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b_2))) (neg.f64 (neg.f64 (neg.f64 b_2))) (*.f64 c a))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) b_2 (*.f64 c a))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 b_2) b_2)) (sqrt.f64 (*.f64 (neg.f64 b_2) b_2)) (*.f64 c a))
(fma.f64 (sqrt.f64 (neg.f64 b_2)) (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 c a))
(fma.f64 (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (neg.f64 b_2)) (*.f64 c a))
(fma.f64 (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 b_2) (*.f64 c a))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 c a))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(fma.f64 (*.f64 (neg.f64 b_2) #s(literal -1 binary64)) b_2 (*.f64 c a))
(fma.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 (neg.f64 b_2)) (*.f64 c a))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 c a))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b_2) b_2) (*.f64 c a))
(fma.f64 c a (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 c a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 c a))
(fma.f64 b_2 b_2 (*.f64 c a))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) a))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(+.f64 (*.f64 c a) (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(+.f64 (*.f64 c a) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 (*.f64 c a) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (*.f64 (pow.f64 b_2 #s(literal -1 binary64)) a))
(*.f64 c (/.f64 a b_2))
(*.f64 a (/.f64 c b_2))
(pow.f64 (/.f64 b_2 (*.f64 c a)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 b_2 c))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 b_2 c))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b_2))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c a)))
(/.f64 (*.f64 c a) b_2)
(/.f64 a (/.f64 b_2 c))

eval158.0ms (2.3%)

Memory
-7.3MiB live, 152.4MiB allocated
Compiler

Compiled 26 252 to 3 111 computations (88.1% saved)

prune98.0ms (1.4%)

Memory
8.3MiB live, 100.6MiB allocated
Pruning

44 alts after pruning (35 fresh and 9 done)

PrunedKeptTotal
New6488656
Fresh22729
Picked325
Done077
Total65344697
Accuracy
89.4%
Counts
697 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a (*.f64 a b_2)) (*.f64 a a))
22.3%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
54.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
26.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
23.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
38.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
38.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a))
28.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
28.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) c)))
26.1%
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 a (/.f64 b_2 c)) #s(literal -1/2 binary64))))
26.1%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
35.3%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
20.0%
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
11.5%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
17.7%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
2.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 #s(literal 2 binary64) a) b_2)))
1.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 b_2) #s(literal -1 binary64))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
37.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
27.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 b_2 c))) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
38.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
38.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
2.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
38.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
38.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
15.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a)))))))
21.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (/.f64 b_2 c)))))
22.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2) b_2)))
17.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 b_2 b_2))))
1.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))))
29.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64))) b_2)))
12.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (fabs.f64 (/.f64 (*.f64 b_2 b_2) a)) #s(literal -2 binary64))) b_2)))
11.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 b_2))) #s(literal -1 binary64))) #s(literal -2 binary64))) b_2)))
17.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 b_2 (*.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2)))))
27.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))))
6.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
6.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
14.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 (fma.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)))) #s(literal -1 binary64)))))
Compiler

Compiled 3 067 to 1 211 computations (60.5% saved)

regimes80.0ms (1.2%)

Memory
2.3MiB live, 154.6MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 b_2 b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 b_2 (*.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2) b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (fabs.f64 (/.f64 (*.f64 b_2 b_2) a)) #s(literal -2 binary64))) b_2)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2)) #s(literal -1 binary64)) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b_2 c) a))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) c)))
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a (*.f64 a b_2)) (*.f64 a a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (/.f64 b_2 c)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 #s(literal 2 binary64) a) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 a (/.f64 b_2 c)) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))) a)
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 b_2))) #s(literal -1 binary64))) #s(literal -2 binary64))) b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 (fma.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)))) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 b_2) #s(literal -1 binary64))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 b_2 c))) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a)))))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
Calls

4 calls:

22.0ms
b_2
19.0ms
c
18.0ms
a
18.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
57.7%3a
84.1%3b_2
54.1%1c
76.8%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes14.0ms (0.2%)

Memory
-4.8MiB live, 31.9MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 b_2 b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 b_2 (*.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2) b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (fabs.f64 (/.f64 (*.f64 b_2 b_2) a)) #s(literal -2 binary64))) b_2)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2)) #s(literal -1 binary64)) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

12.0ms
b_2
Results
AccuracySegmentsBranch
84.0%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.2%)

Memory
32.1MiB live, 32.1MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 b_2 b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 b_2 (*.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2) b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (fabs.f64 (/.f64 (*.f64 b_2 b_2) a)) #s(literal -2 binary64))) b_2)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2)) #s(literal -1 binary64)) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

9.0ms
b_2
Results
AccuracySegmentsBranch
80.4%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.3%)

Memory
-29.4MiB live, 52.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 b_2 b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 b_2 (*.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2) b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

2 calls:

12.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
7.0ms
b_2
Results
AccuracySegmentsBranch
51.8%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
64.1%2b_2
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes7.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 b_2 b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 b_2 (*.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (*.f64 (/.f64 b_2 a) b_2) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2) b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) c) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

6.0ms
b_2
Results
AccuracySegmentsBranch
63.9%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes38.0ms (0.6%)

Memory
-13.1MiB live, 21.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

4 calls:

31.0ms
b_2
2.0ms
a
2.0ms
c
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
27.9%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
27.9%1c
27.9%1a
27.9%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes22.0ms (0.3%)

Memory
-10.8MiB live, 28.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
Calls

4 calls:

16.0ms
a
2.0ms
c
2.0ms
b_2
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
27.8%1a
27.8%1c
27.8%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
27.8%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes6.0ms (0.1%)

Memory
33.8MiB live, 33.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
Calls

4 calls:

1.0ms
b_2
1.0ms
a
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
6.9%1a
6.9%1c
6.9%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
6.9%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch59.0ms (0.9%)

Memory
-47.5MiB live, 54.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
45.0ms
7.191766745013288e-19
9.284860006852043e-6
9.0ms
-1.9497709321345972e+120
-1.4080502709243944e+119
Samples
11.0ms167×0valid
6.0ms35×2valid
5.0ms38×1valid
2.0ms22×0invalid
Compiler

Compiled 666 to 511 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 4.0ms (24.6% of total)
ival-div: 3.0ms (18.5% of total)
ival-sqrt: 3.0ms (18.5% of total)
adjust: 2.0ms (12.3% of total)
ival-add: 2.0ms (12.3% of total)
ival-sub: 2.0ms (12.3% of total)
ival-neg: 1.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
1.0ms
7.191766745013288e-19
9.284860006852043e-6
1.0ms
-1.9497709321345972e+120
-1.4080502709243944e+119
Compiler

Compiled 596 to 461 computations (22.7% saved)

bsearch19.0ms (0.3%)

Memory
4.1MiB live, 41.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
7.191766745013288e-19
9.284860006852043e-6
13.0ms
-2.411026614816557e-128
-6.194093792848814e-129
Samples
8.0ms89×0valid
2.0ms24×0invalid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 671 to 506 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (35.9% of total)
ival-div: 1.0ms (18% of total)
ival-add: 1.0ms (18% of total)
ival-sqrt: 1.0ms (18% of total)
ival-sub: 1.0ms (18% of total)
ival-neg: 1.0ms (18% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-2.647987909642094e-309
9.4091675783899e-309
Samples
4.0ms64×0valid
2.0ms34×0invalid
Compiler

Compiled 248 to 180 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (24.9% of total)
ival-mult: 1.0ms (24.9% of total)
ival-sqrt: 1.0ms (24.9% of total)
ival-neg: 1.0ms (24.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
4.3MiB live, 77.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
9.4091675783899e-309
2.992269115570054e-289
Samples
18.0ms176×0valid
5.0ms75×0invalid
Compiler

Compiled 412 to 335 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (28.8% of total)
ival-div: 2.0ms (19.2% of total)
ival-sqrt: 2.0ms (19.2% of total)
ival-sub: 1.0ms (9.6% of total)
ival-add: 1.0ms (9.6% of total)
ival-neg: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify73.0ms (1.1%)

Memory
-34.3MiB live, 54.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077423
1123410
2261410
3957410
44775400
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1170655706368497/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 934613434536269/1298074214633706907132624082305024 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
Outputs
(if (<=.f64 b_2 #s(literal -1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (pow.f64 #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(if (<=.f64 b_2 #s(literal -1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 8099983099314331/10384593717069655257060992658440192 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1170655706368497/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 934613434536269/1298074214633706907132624082305024 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

soundness408.0ms (6%)

Memory
16.4MiB live, 248.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07053060
025772923
05082818
017842683
038224
059222
1228216
21694216
08292216
011407009
041526714
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
Compiler

Compiled 605 to 246 computations (59.3% saved)

preprocess131.0ms (1.9%)

Memory
-0.6MiB live, 115.1MiB allocated
Compiler

Compiled 1 050 to 228 computations (78.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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