quad2p (problem 3.2.1, positive)

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze194.0ms (2.8%)

Memory
4.0MiB live, 187.2MiB 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)

sample1.5s (22.4%)

Memory
56.9MiB live, 1 508.5MiB allocated
Samples
428.0ms5 505×0valid
341.0ms1 214×2valid
229.0ms1 361×1valid
76.0ms1 156×0invalid
50.0ms176×3valid
Precisions
Click to see histograms. Total time spent on operations: 846.0ms
ival-mult: 187.0ms (22.1% of total)
adjust: 161.0ms (19% of total)
ival-sqrt: 153.0ms (18.1% of total)
ival-add: 99.0ms (11.7% of total)
ival-div: 97.0ms (11.5% of total)
ival-neg: 71.0ms (8.4% of total)
ival-sub: 70.0ms (8.3% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain164.0ms (2.4%)

Memory
-45.7MiB live, 101.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-3(-3.906336402162377e-73 1.5827495015847035e-195 7.150135081471503e-243)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
560-0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
140-0-(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
40-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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-rescue1040
(*.f64 b_2 b_2)overflow85
(*.f64 a c)overflow27
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow104
+.f64(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation560
/.f64(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n140
(*.f64 b_2 b_2)underflow39
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow27
(*.f64 a c)underflow35
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow7
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue70
(*.f64 b_2 b_2)underflow39
(*.f64 a c)underflow35
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow7
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue40
(*.f64 b_2 b_2)overflow85
(*.f64 a c)overflow27
Confusion
Predicted +Predicted -
+1393
-13101
Precision
0.9144736842105263
Recall
0.9788732394366197
Confusion?
Predicted +Predicted MaybePredicted -
+13903
-130101
Precision?
0.9144736842105263
Recall?
0.9788732394366197
Freqs
test
numberfreq
0104
1121
229
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms348×0valid
19.0ms86×2valid
19.0ms70×1valid
2.0ms3valid
Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sub: 11.0ms (24.6% of total)
ival-mult: 9.0ms (20.1% of total)
adjust: 7.0ms (15.6% of total)
ival-sqrt: 6.0ms (13.4% of total)
ival-div: 5.0ms (11.2% of total)
ival-add: 4.0ms (8.9% of total)
ival-neg: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess20.0ms (0.3%)

Memory
35.0MiB live, 35.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044118
1119116
2238116
3389116
4505116
5547116
6568116
01013
01713
12813
25313
39813
413313
514513
615713
717013
017013
Stop Event
iter limit
saturated
iter limit
saturated
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))) (neg.f64 b_2)) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(/.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)

simplify6.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB 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 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01050
01750
12850
25350
39850
413350
514550
615750
717050
017050
Stop Event
iter limit
saturated
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))) (neg.f64 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))) (neg.f64 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

localize80.0ms (1.2%)

Memory
-30.2MiB live, 58.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.7968750000000001
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy3.454280803324143
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy12.974234602291919
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy26.218205479876936
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
44.0ms35×1valid
17.0ms174×0valid
10.0ms43×2valid
1.0ms3valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sqrt: 45.0ms (73.9% of total)
adjust: 4.0ms (6.6% of total)
ival-mult: 4.0ms (6.6% of total)
ival-div: 3.0ms (4.9% of total)
ival-sub: 2.0ms (3.3% of total)
ival-add: 2.0ms (3.3% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
5 → 98
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)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
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)))))))))
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 (/ 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)))
(* 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 (/ 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 (* 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))))
(+ (* 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)))
(* -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 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 (* -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 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)))))))
(* -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))))))))
(* -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 (- (* -1/8 (/ (* 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)))))))))
(+ 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 (* 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 (+ (* 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 (/ 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 (+ (* 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
3.0ms
a
@-inf
((/ (+ (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))) (- (* b_2 b_2) (* a c)))
2.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (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)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
c
@0
((/ (+ (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))) (- (* b_2 b_2) (* a c)))
2.0ms
c
@-inf
((/ (+ (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))) (- (* b_2 b_2) (* a c)))

simplify185.0ms (2.7%)

Memory
-51.3MiB live, 174.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05082820
117572792
273612792
080842654
Stop Event
iter limit
node limit
Counts
98 → 97
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)))))))))
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 (/ 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)))
(* 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 (/ 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 (* 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))))
(+ (* 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)))
(* -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 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 (* -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 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)))))))
(* -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))))))))
(* -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 (- (* -1/8 (/ (* 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)))))))))
(+ 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 (* 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 (+ (* 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 (/ 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 (+ (* 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 (/ 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 c c) (/.f64 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 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (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 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (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 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 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)
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(* -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)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) (neg.f64 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)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 c)) b_2) (neg.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (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 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (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) (fma.f64 (*.f64 b_2 (/.f64 b_2 c)) #s(literal -1 binary64) a))

rewrite158.0ms (2.3%)

Memory
22.3MiB live, 172.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
01741
15841
242641
3492538
0952534
Stop Event
iter limit
node limit
iter limit
Counts
5 → 271
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)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
Outputs
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(*.f64 (/.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a (*.f64 a b_2)) a) a)
(/.f64 (-.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a (*.f64 a b_2))) (neg.f64 (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 a) (*.f64 (neg.f64 a) b_2)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a (*.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 a) (*.f64 a b_2)) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 a a))
(/.f64 (fma.f64 a b_2 (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a (neg.f64 a)))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a)) (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.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 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a (*.f64 a b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a (*.f64 a b_2)) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (-.f64 (pow.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 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))
(/.f64 (-.f64 (pow.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 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) a) (/.f64 b_2 a))
(-.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) a) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) a))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (neg.f64 a)))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))
(+.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 a b_2) (*.f64 a a)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (*.f64 a a)))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(+.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))
(+.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a)) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a)))
(+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
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(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) b_2)
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 b_2 (/.f64 b_2 (-.f64 (sqrt.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 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(fma.f64 b_2 (/.f64 (*.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 b_2 (/.f64 (*.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 b_2 (/.f64 (*.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(-.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(-.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.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 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)
(-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.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 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(+.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)
(+.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
(pow.f64 (sqrt.f64 b_2) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.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))
(neg.f64 b_2)
(sqrt.f64 (*.f64 b_2 b_2))
(fabs.f64 b_2)
(+.f64 (cosh.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64))))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
b_2
(*.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fabs.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))
(/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fabs.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.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))) (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 2 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 (-.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))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2)))
(*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (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 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64)))
(*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (fma.f64 c a (*.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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 c a (*.f64 b_2 b_2))) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))
(/.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (fma.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 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (*.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 (/.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (+.f64 (pow.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)))) #s(literal 2 binary64)) (+.f64 (pow.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)))) #s(literal 2 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 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 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(/.f64 (-.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 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (*.f64 c a) #s(literal 3 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 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (hypot.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))
(/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 18 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 12 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 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (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 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 c a (*.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 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a b_2) c) b_2))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (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 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 (/.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 2 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)))))
(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 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 4 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (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 (*.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)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 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))))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) c))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(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 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 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 b_2 (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))))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(fma.f64 a 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)))) (/.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 (*.f64 b_2 b_2) (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))))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 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))))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.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 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(-.f64 (*.f64 c a) (*.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 (neg.f64 c) (neg.f64 a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 c a))) (*.f64 b_2 b_2))
(hypot.f64 (fabs.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) (neg.f64 (fabs.f64 (*.f64 c a))))
(hypot.f64 (*.f64 b_2 b_2) (fabs.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 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.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 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (sinh.f64 (log.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 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(+.f64 (*.f64 c a) (*.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 (neg.f64 c) (neg.f64 a)))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(+.f64 (*.f64 b_2 b_2) (*.f64 c a))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval57.0ms (0.8%)

Memory
-12.4MiB live, 85.8MiB allocated
Compiler

Compiled 12 389 to 1 647 computations (86.7% saved)

prune12.0ms (0.2%)

Memory
-17.4MiB live, 29.9MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New35610366
Fresh000
Picked011
Done000
Total35611367
Accuracy
90.5%
Counts
367 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.3%
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
15.6%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (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)))))) a)
47.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
28.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) a)
35.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
30.0%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
35.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
26.7%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
35.3%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
35.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
34.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Compiler

Compiled 449 to 324 computations (27.8% saved)

simplify81.0ms (1.2%)

Memory
9.2MiB live, 101.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff0
(neg.f64 b_2)
cost-diff0
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
cost-diff0
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
cost-diff3
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
cost-diff0
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
cost-diff0
(neg.f64 b_2)
cost-diff0
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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
039297
062297
1102297
2189297
3476297
41748297
55680291
08073288
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 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(neg.f64 b_2)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 b_2)
b_2
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
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 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.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
b_2
#s(literal -1/2 binary64)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) 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 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a) c (*.f64 #s(literal -2 binary64) b_2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a) c (*.f64 #s(literal -2 binary64) b_2))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(neg.f64 b_2)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 b_2))
(neg.f64 b_2)
b_2
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
#s(literal 2 binary64)
#s(literal 1/4 binary64)

localize169.0ms (2.5%)

Memory
8.5MiB live, 192.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.5039007452111204
(fma.f64 c a (*.f64 b_2 b_2))
accuracy3.450374553324143
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
accuracy12.97754709176338
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy41.93255427859561
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
accuracy4.514973803522823
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
accuracy5.920453354217224
(*.f64 (/.f64 c b_2) a)
accuracy41.36116588603149
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
accuracy3.454280803324143
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
accuracy12.974234602291919
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
accuracy26.218205479876936
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy39.555529002522555
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy0.0
(/.f64 c b_2)
accuracy0.00390625
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy42.169045624039676
#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)
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy41.40123003249096
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
Samples
63.0ms43×2valid
38.0ms174×0valid
17.0ms35×1valid
6.0ms3valid
Compiler

Compiled 244 to 32 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow: 21.0ms (26.4% of total)
adjust: 18.0ms (22.6% of total)
ival-mult: 15.0ms (18.9% of total)
ival-div: 8.0ms (10.1% of total)
ival-add: 6.0ms (7.5% of total)
ival-pow2: 4.0ms (5% of total)
ival-sqrt: 3.0ms (3.8% of total)
ival-sub: 2.0ms (2.5% of total)
ival-neg: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series290.0ms (4.2%)

Memory
40.9MiB live, 316.1MiB allocated
Counts
20 → 207
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 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (/.f64 c b_2) a)
(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)))))))))
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))))))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c 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)))))))
(* 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)))))))))
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ 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))
(/ (* a c) b_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)))
(* 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))))))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* 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 (* 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 (* 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 (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -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)))
(/ c b_2)
(* -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)))))))))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -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 (* -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)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -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))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -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))) (* 1/2 (* a c))))) b_2)
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -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 (+ 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 (* -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))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* 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))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (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)))))))))
(+ 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 (+ (* -1/8 (/ (* 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 (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a 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 (+ (* 1/2 (/ 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)))))))))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ 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 (* 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 (+ (* 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 (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* c (- (/ (pow b_2 2) c) a))
(* 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 (+ (* 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 (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Calls

9 calls:

TimeVariablePointExpression
90.0ms
a
@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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (- (* b_2 b_2) (* a c)) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
70.0ms
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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (- (* b_2 b_2) (* a c)) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
34.0ms
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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (- (* b_2 b_2) (* a c)) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
20.0ms
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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (- (* b_2 b_2) (* a c)) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))
19.0ms
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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (- (* b_2 b_2) (* a c)) (* (/ c b_2) a) (+ (* c a) (* b_2 b_2)))

simplify176.0ms (2.6%)

Memory
8.2MiB live, 189.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08775592
131325459
087645179
Stop Event
iter limit
node limit
Counts
207 → 206
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)))))))))
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))))))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c 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)))))))
(* 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)))))))))
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ 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))
(/ (* a c) b_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)))
(* 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))))))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* 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 (* 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 (* 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 (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -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)))
(/ c b_2)
(* -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)))))))))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -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 (* -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)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -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))) (* 1/2 c)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -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))) (* 1/2 (* a c))))) b_2)
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -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 (+ 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 (* -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))))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* 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))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (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)))))))))
(+ 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 (+ (* -1/8 (/ (* 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 (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a 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 (+ (* 1/2 (/ 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)))))))))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ 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 (* 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 (+ (* 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 (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* c (- (/ (pow b_2 2) c) a))
(* 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 (+ (* 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 (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -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 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 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 #s(literal -1/2 binary64) 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) (/.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 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 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 #s(literal -1/2 binary64) 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) (/.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)
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.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 b_2)
(+ 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))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 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 b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal 2 binary64))
(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(fma.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 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 a #s(literal 1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 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))))))))
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(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b_2) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1 binary64) a))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(*.f64 (neg.f64 c) (neg.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) c) a)))

rewrite184.0ms (2.7%)

Memory
-12.5MiB live, 179.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039247
062241
1207238
21279238
08248238
Stop Event
iter limit
node limit
iter limit
Counts
20 → 409
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 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (/.f64 c b_2) a)
(fma.f64 c a (*.f64 b_2 b_2))
Outputs
(/.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 (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(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)))
#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 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(/.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 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
(neg.f64 (/.f64 (neg.f64 c) b_2))
(neg.f64 (/.f64 c (neg.f64 b_2)))
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(*.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))))) (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a))
(/.f64 (-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (/.f64 (neg.f64 b_2) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64))) (+.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (/.f64 (neg.f64 b_2) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)))) (neg.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b_2) a (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (neg.f64 (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b_2)))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a (*.f64 (neg.f64 a) (neg.f64 b_2))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 a) (*.f64 a (neg.f64 (neg.f64 b_2)))) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b_2)) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (neg.f64 b_2) (neg.f64 a) (*.f64 a (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a))) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a)))
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)
(neg.f64 (/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) a))
(neg.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (neg.f64 a)))
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.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 c) a)))) a)) (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)))
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a) (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a))
(+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a))))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) #s(literal 3 binary64)) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a))))))
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(-.f64 (*.f64 c a) (*.f64 (neg.f64 b_2) b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) a))
(fabs.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 b_2)) (*.f64 c a)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 b_2) b_2) (*.f64 c a)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 b_2 b_2)))
(fabs.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(fabs.f64 (fma.f64 c a (*.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 a) c (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 (neg.f64 c) a) (*.f64 c a)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (sinh.f64 (log.f64 (fma.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 a) c (*.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 a) c (*.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 a) c (*.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 a) c (*.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 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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval78.0ms (1.1%)

Memory
23.9MiB live, 112.3MiB allocated
Compiler

Compiled 25 497 to 3 012 computations (88.2% saved)

prune90.0ms (1.3%)

Memory
-46.0MiB live, 56.9MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New61410624
Fresh415
Picked235
Done011
Total62015635
Accuracy
90.5%
Counts
635 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
25.4%
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
16.2%
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a))
47.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
30.0%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
26.7%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
34.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
35.3%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
35.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
29.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
35.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
33.8%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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))))
10.8%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
34.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
34.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
Compiler

Compiled 795 to 504 computations (36.6% saved)

simplify114.0ms (1.7%)

Memory
16.0MiB live, 107.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
cost-diff2
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)
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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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 a b_2) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
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) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
cost-diff0
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
cost-diff2
(*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057450
083450
1157450
2369450
31077428
43570428
56630420
08140403
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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))
(*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)
(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.f64 b_2 a)
b_2
a
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)
(fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)))
(/.f64 b_2 c)
b_2
c
#s(literal -2 binary64)
(*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))
(/.f64 a b_2)
a
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2)))
(*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2))
(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(/.f64 b_2 a)
b_2
a
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
#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 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
c
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(*.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 (/.f64 c b_2) #s(literal -1/2 binary64)))
(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(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2)))
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a (*.f64 #s(literal -2 binary64) b_2))
(fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)))
(/.f64 b_2 c)
b_2
c
#s(literal -2 binary64)
(*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))
(/.f64 a b_2)
a
#s(literal 1/2 binary64)

localize205.0ms (3%)

Memory
4.2MiB live, 190.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
accuracy10.67063664173174
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)
accuracy41.36116588603149
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))
accuracy0.0
(neg.f64 b_2)
accuracy6.764372924582583
(*.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)))
accuracy7.12017076671653
(/.f64 c (*.f64 b_2 b_2))
accuracy41.52209712731934
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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))))
accuracy0.00390625
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
accuracy4.7719602251401305
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy42.130518496928104
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) b_2)
accuracy0.23046875
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
accuracy42.169045624039676
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
accuracy10.169585427407625
(*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)
accuracy41.36116588603149
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)))
Samples
61.0ms43×2valid
61.0ms174×0valid
24.0ms35×1valid
7.0ms3valid
Compiler

Compiled 284 to 49 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 35.0ms (27.9% of total)
adjust: 29.0ms (23.1% of total)
ival-div: 20.0ms (15.9% of total)
ival-pow: 20.0ms (15.9% of total)
ival-add: 11.0ms (8.8% of total)
ival-pow2: 4.0ms (3.2% of total)
ival-sqrt: 3.0ms (2.4% of total)
ival-sub: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series170.0ms (2.5%)

Memory
14.9MiB live, 198.1MiB allocated
Counts
22 → 116
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(*.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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 c (*.f64 b_2 b_2))
(*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))
Outputs
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* -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)))))))))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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 a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(* 1/2 (/ a b_2))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ 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)))))
(* (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)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* 1/2 (/ c (pow b_2 2)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_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) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) 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) (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)))
(/ -1/2 b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* -1 b_2)
(/ (+ (* 1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c (pow b_2 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 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))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -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))) (* 1/2 c)))) b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* 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))) (* -1/8 (/ (* (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 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* 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)))))))))
(* 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 (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* 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 (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_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 (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
Calls

9 calls:

TimeVariablePointExpression
29.0ms
b_2
@inf
((* (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (/ b_2 c) -2) (* (/ a b_2) 1/2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ c b_2)) (/ c (* b_2 b_2)) (* (/ a b_2) 1/2))
22.0ms
a
@inf
((* (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (/ b_2 c) -2) (* (/ a b_2) 1/2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ c b_2)) (/ c (* b_2 b_2)) (* (/ a b_2) 1/2))
21.0ms
c
@0
((* (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (/ b_2 c) -2) (* (/ a b_2) 1/2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ c b_2)) (/ c (* b_2 b_2)) (* (/ a b_2) 1/2))
19.0ms
c
@-inf
((* (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (/ b_2 c) -2) (* (/ a b_2) 1/2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ c b_2)) (/ c (* b_2 b_2)) (* (/ a b_2) 1/2))
16.0ms
b_2
@0
((* (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (/ b_2 c) -2) (* (/ a b_2) 1/2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ c b_2)) (/ c (* b_2 b_2)) (* (/ a b_2) 1/2))

simplify143.0ms (2.1%)

Memory
-7.0MiB live, 180.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05812823
120102753
081682621
Stop Event
iter limit
node limit
Counts
116 → 116
Calls
Call 1
Inputs
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* -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)))))))))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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 a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(* 1/2 (/ a b_2))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ 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)))))
(* (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)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* 1/2 (/ c (pow b_2 2)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_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) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) 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) (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)))
(/ -1/2 b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* -1 b_2)
(/ (+ (* 1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c (pow b_2 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 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))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -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))) (* 1/2 c)))) b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* 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))) (* -1/8 (/ (* (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 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* 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)))))))))
(* 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 (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* 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 (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_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 (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
Outputs
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -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 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -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 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) 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 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) 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 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a 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 (/.f64 a b_2) #s(literal -1/2 binary64)) c (*.f64 #s(literal -2 binary64) b_2)) a)
(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 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 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 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 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.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 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal 1/2 binary64) #s(literal 2 binary64)) a)
(* 1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))
(* 1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 b_2 (/.f64 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) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.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 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 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) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.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 #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 b_2 (/.f64 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) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.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 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 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) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)))) a)
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(sqrt (/ c a))
(sqrt.f64 (/.f64 c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (neg.f64 b_2) a))) (sqrt.f64 (/.f64 c a)))
(* 1/2 (/ c (pow b_2 2)))
(*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 2 binary64) a) b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (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)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64)) 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)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) a)) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 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)))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) b_2) (neg.f64 a))))
(* -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)))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 a)) b_2) (neg.f64 a))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) b_2) (neg.f64 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c)))) a)) (neg.f64 a)))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/.f64 (fma.f64 (*.f64 b_2 b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (-.f64 (*.f64 (*.f64 b_2 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) a)) b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
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(* 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 b_2 (/.f64 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 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 (/.f64 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 (- (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) c) (/.f64 b_2 a) (/.f64 #s(literal -1/2 binary64) b_2)) c)
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (/.f64 (/.f64 b_2 c) a)) c)
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (/.f64 (/.f64 b_2 c) a))) c)
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 (/.f64 (neg.f64 b_2) c) a))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) c)
(* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) b_2) (/.f64 #s(literal -2 binary64) (*.f64 c a))) c)
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b_2 c) #s(literal 2 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))))
(* -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 c) a)))
(* -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)) (/.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)) (neg.f64 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)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) (/.f64 b_2 a)) (neg.f64 c))))
(* -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)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) b_2) (neg.f64 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)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 c)) b_2) (neg.f64 c))))
(* -1 (* c (+ (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b_2 c) a) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b_2 c) a) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (neg.f64 b_2) a)) (neg.f64 c)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c)) (/.f64 b_2 a)) (neg.f64 c)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))))
(* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) b_2) (/.f64 #s(literal -2 binary64) (*.f64 c a))) c)

rewrite198.0ms (2.9%)

Memory
41.3MiB live, 224.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057387
083385
1296384
22046384
08352377
Stop Event
iter limit
node limit
iter limit
Counts
22 → 271
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(*.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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 c (*.f64 b_2 b_2))
(*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))
Outputs
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a)
(*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.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))) a)) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))))
(/.f64 (neg.f64 (*.f64 a (-.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))))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))))
(/.f64 (*.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))) a) (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64))) a) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))))
(/.f64 (*.f64 a (-.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 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
(/.f64 (*.f64 a (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) a (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) a))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(fma.f64 a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) a) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))
(+.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) a))
(+.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (*.f64 a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(+.f64 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a)))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a))) a)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a)))) a))
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a))) (neg.f64 a)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a))
#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 #s(literal -1/2 binary64) b_2) c)
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2)))
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(-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b_2) b_2)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)
(*.f64 c (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64))) c)) (neg.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64))) c)) (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 c (-.f64 (pow.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 c (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64))) c) (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64))) c) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))))
(/.f64 (*.f64 c (-.f64 (pow.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))))
(/.f64 (*.f64 c (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a 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 4 binary64) (*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))))
(fma.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) c (*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c))
(fma.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (*.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) c))
(fma.f64 c (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) (*.f64 c (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))))
(fma.f64 c (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (*.f64 c (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) c) (*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c))
(+.f64 (*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c) (*.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) c))
(+.f64 (*.f64 c (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))) (*.f64 c (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))))
(+.f64 (*.f64 c (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))) a))
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) (neg.f64 a)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.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 c #s(literal 1/2 binary64)))) (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 c #s(literal 1/2 binary64))) (neg.f64 b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 (/.f64 c b_2))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (/.f64 c (neg.f64 b_2)) (neg.f64 b_2))
(/.f64 (neg.f64 (/.f64 c b_2)) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b_2 b_2))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (/.f64 c b_2) (neg.f64 (neg.f64 b_2)))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c (*.f64 b_2 b_2))
(neg.f64 (/.f64 c (*.f64 (neg.f64 b_2) b_2)))
(*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 a b_2))
(*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 a))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) a))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 a)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) a)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2)

eval79.0ms (1.1%)

Memory
-23.6MiB live, 122.8MiB allocated
Compiler

Compiled 15 394 to 1 786 computations (88.4% saved)

prune20.0ms (0.3%)

Memory
-5.1MiB live, 40.9MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New3803383
Fresh066
Picked145
Done044
Total38117398
Accuracy
90.5%
Counts
398 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
25.4%
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
16.2%
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a))
47.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
30.0%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
26.3%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) b_2)) a)
26.7%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
34.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
35.3%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
35.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
29.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
35.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
33.8%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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))))
35.2%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
10.8%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
34.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
34.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
Compiler

Compiled 776 to 492 computations (36.6% saved)

simplify105.0ms (1.5%)

Memory
-5.5MiB live, 96.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2)))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
cost-diff2
(*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)
cost-diff0
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
cost-diff0
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
cost-diff2
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2)))
cost-diff4
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
cost-diff0
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff0
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))
cost-diff0
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058475
087475
1160473
2401470
31228464
43753452
08064439
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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))
#s(literal 1/2 binary64)
(*.f64 a (/.f64 c b_2))
a
(/.f64 c b_2)
c
b_2
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
a
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(*.f64 a (neg.f64 b_2))
(neg.f64 b_2)
b_2
(*.f64 a a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2)))
(*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))
#s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c))
(*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)
(fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c))
(/.f64 a (*.f64 b_2 b_2))
a
(*.f64 b_2 b_2)
b_2
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(neg.f64 b_2)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))
(fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))
#s(literal 1/2 binary64)
(*.f64 a (/.f64 c b_2))
(*.f64 (/.f64 c b_2) a)
a
(/.f64 c b_2)
c
b_2
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
a
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) a)
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2)))
(*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(*.f64 a (neg.f64 b_2))
(neg.f64 b_2)
b_2
(*.f64 a a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2) c) a #s(literal 2 binary64))) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2) c) a #s(literal 2 binary64))) (neg.f64 b_2)))
(*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))
(*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2) c) a #s(literal 2 binary64))) (neg.f64 b_2))
#s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c))
#s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2) c) a #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2) c) a #s(literal 2 binary64))
(fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c))
(/.f64 a (*.f64 b_2 b_2))
a
(*.f64 b_2 b_2)
b_2
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(neg.f64 b_2)

localize232.0ms (3.4%)

Memory
-7.4MiB live, 230.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
accuracy4.514973803522823
(*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))
accuracy7.800177496144872
(/.f64 a (*.f64 b_2 b_2))
accuracy41.36116588603149
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2)))
accuracy19.163808645728242
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2)))
accuracy26.218205479876936
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy31.437881704439683
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
accuracy39.555529002522555
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy0.203125
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
accuracy4.7719602251401305
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
accuracy42.130518496928104
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
accuracy0.0
(/.f64 c b_2)
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy42.160691086799865
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy0.0
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))
accuracy3.454280803324143
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
accuracy5.920453354217224
(*.f64 a (/.f64 c b_2))
accuracy41.36116588603149
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))))
Samples
68.0ms174×0valid
39.0ms34×2valid
27.0ms35×1valid
20.0ms13×3valid
Compiler

Compiled 295 to 49 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-mult: 35.0ms (28.7% of total)
ival-pow: 21.0ms (17.2% of total)
ival-add: 20.0ms (16.4% of total)
adjust: 19.0ms (15.6% of total)
ival-div: 16.0ms (13.1% of total)
ival-pow2: 4.0ms (3.3% of total)
ival-sqrt: 3.0ms (2.5% of total)
ival-sub: 2.0ms (1.6% of total)
ival-neg: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series248.0ms (3.6%)

Memory
-4.0MiB live, 218.3MiB allocated
Counts
21 → 192
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2)))
(*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))
(*.f64 a (/.f64 c b_2))
(/.f64 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)))))))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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 b_2))
(/ (+ b_2 (* -1 b_2)) a)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/ (+ b_2 (+ (* -1 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))))))))) a)
(* a (+ b_2 (* -1 b_2)))
(* a (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
(* a (+ b_2 (+ (* -1 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))))))))))
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))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(/ (* a c) b_2)
(/ a (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 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -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))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 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 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -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 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 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 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(/ c b_2)
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) 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) (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)) (* 2 (pow b_2 2))) (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 (/ (* a c) (pow b_2 2))) 2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -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))) (* 1/2 c)))) b_2)
(/ (* b_2 (+ a (* -1 a))) (pow a 2))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (/ -1 a) (/ 1 a)))))
(* 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))) (+ (/ -1 a) (/ 1 a))))))
(* b_2 (+ a (* -1 a)))
(* b_2 (+ a (+ (* -1 a) (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(* 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 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 (+ 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 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(* -1 b_2)
(* -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 (- (* -1/8 (/ (* 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)))))))))
(* 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 (* a b_2)) (* a b_2)) (pow a 2))
(+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (* a b_2)) (* a b_2))
(+ (* -1 (* a b_2)) (+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2)))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))))
(+ 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 (* 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 c)) (* 1/2 (/ a b_2))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) 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))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 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 (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) 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))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
Calls

9 calls:

TimeVariablePointExpression
72.0ms
b_2
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (+ (* 1/2 (* a (/ c b_2))) (* -2 b_2)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* 1/2 (/ c b_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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (+ (* (/ a (* b_2 b_2)) -1/2) (/ 2 c)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* a (/ c b_2)) (/ a (* b_2 b_2)))
52.0ms
b_2
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (+ (* 1/2 (* a (/ c b_2))) (* -2 b_2)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* 1/2 (/ c b_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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (+ (* (/ a (* b_2 b_2)) -1/2) (/ 2 c)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* a (/ c b_2)) (/ a (* b_2 b_2)))
29.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (+ (* 1/2 (* a (/ c b_2))) (* -2 b_2)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* 1/2 (/ c b_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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (+ (* (/ a (* b_2 b_2)) -1/2) (/ 2 c)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* a (/ c b_2)) (/ a (* b_2 b_2)))
19.0ms
a
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (+ (* 1/2 (* a (/ c b_2))) (* -2 b_2)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* 1/2 (/ c b_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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (+ (* (/ a (* b_2 b_2)) -1/2) (/ 2 c)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* a (/ c b_2)) (/ a (* b_2 b_2)))
15.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (+ (* 1/2 (* a (/ c b_2))) (* -2 b_2)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* 1/2 (/ c b_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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (+ (* (/ a (* b_2 b_2)) -1/2) (/ 2 c)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* a (/ c b_2)) (/ a (* b_2 b_2)))

simplify332.0ms (4.8%)

Memory
1.4MiB live, 227.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08404969
130244812
083894558
Stop Event
iter limit
node limit
Counts
192 → 191
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)))))))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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 b_2))
(/ (+ b_2 (* -1 b_2)) a)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/ (+ b_2 (+ (* -1 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))))))))) a)
(* a (+ b_2 (* -1 b_2)))
(* a (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))))
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
(* a (+ b_2 (+ (* -1 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))))))))))
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))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(/ (* a c) b_2)
(/ a (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 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -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))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 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 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -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 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 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 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(/ c b_2)
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) 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) (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)) (* 2 (pow b_2 2))) (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 (/ (* a c) (pow b_2 2))) 2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -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))) (* 1/2 c)))) b_2)
(/ (* b_2 (+ a (* -1 a))) (pow a 2))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (/ -1 a) (/ 1 a)))))
(* 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))) (+ (/ -1 a) (/ 1 a))))))
(* b_2 (+ a (* -1 a)))
(* b_2 (+ a (+ (* -1 a) (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* b_2 (+ a (+ (* -1 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(* 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 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 (+ 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 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(* -1 b_2)
(* -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 (- (* -1/8 (/ (* 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)))))))))
(* 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 (* a b_2)) (* a b_2)) (pow a 2))
(+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))
(+ (* -1 (* a b_2)) (* a b_2))
(+ (* -1 (* a b_2)) (+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2)))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))))
(+ (* -1 (* a b_2)) (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))))
(+ 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 (* 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 c)) (* 1/2 (/ a b_2))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) 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))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 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 (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) 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))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
Outputs
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(+ (* -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 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -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 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -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 #s(literal -1/2 binary64) 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) (/.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 #s(literal -1/2 binary64) (/.f64 c b_2)))
(* -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 #s(literal -1/2 binary64) (/.f64 c b_2))) 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 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) 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 #s(literal -1/2 binary64) 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) (/.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 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))
(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(fma.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 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 a #s(literal 1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 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 #s(literal -1/2 binary64) 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) (/.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 #s(literal 1/2 binary64) (/.f64 c b_2)))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/ (+ b_2 (* -1 b_2)) a)
#s(literal 0 binary64)
(/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)
(/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a #s(literal 0 binary64)) a)
(/ (+ b_2 (+ (* -1 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))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a #s(literal 0 binary64)) a)
(* a (+ b_2 (* -1 b_2)))
#s(literal 0 binary64)
(* a (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)
(* a (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a #s(literal 0 binary64)) a)
(* a (+ b_2 (+ (* -1 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))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a #s(literal 0 binary64)) a)
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(+ 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))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
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(/ (* a c) b_2)
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(/ a (pow b_2 2))
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* a c))
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(* a (- (/ (pow b_2 2) a) c))
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(* -1/2 (/ (* a c) (pow b_2 2)))
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(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
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(*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) 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)) (/.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)) (neg.f64 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)) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) c)) (neg.f64 c))))
(* -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)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) b_2) (neg.f64 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)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (neg.f64 c)) b_2) (neg.f64 c))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b_2 c) #s(literal 2 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #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)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) c)) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 a (/.f64 b_2 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 b_2) a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a b_2 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) c))) (neg.f64 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))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #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 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #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) (fma.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1 binary64) a))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) c)))

rewrite362.0ms (5.3%)

Memory
7.3MiB live, 304.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058389
087387
1299384
21956384
09147377
Stop Event
iter limit
node limit
iter limit
Counts
21 → 328
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2)))
(*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))
(*.f64 a (/.f64 c b_2))
(/.f64 a (*.f64 b_2 b_2))
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))))))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))))) a))
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 a)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 (*.f64 (/.f64 c b_2) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b_2 b_2)) (pow.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))))
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(neg.f64 (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) b_2))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(*.f64 a (/.f64 c b_2))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 (neg.f64 (/.f64 a (neg.f64 b_2))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 a b_2))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (/.f64 a (neg.f64 b_2)) (neg.f64 b_2))
(/.f64 (neg.f64 (/.f64 a b_2)) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 a)) (*.f64 b_2 b_2))
(/.f64 (/.f64 a b_2) b_2)
(/.f64 (neg.f64 a) (*.f64 (neg.f64 b_2) b_2))
(/.f64 a (*.f64 b_2 b_2))
(neg.f64 (/.f64 a (*.f64 (neg.f64 b_2) b_2)))

eval61.0ms (0.9%)

Memory
-3.0MiB live, 87.3MiB allocated
Compiler

Compiled 24 059 to 2 297 computations (90.5% saved)

prune43.0ms (0.6%)

Memory
-19.3MiB live, 41.6MiB allocated
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New5128520
Fresh044
Picked235
Done268
Total51621537
Accuracy
90.5%
Counts
537 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(fma.f64 (neg.f64 b_2) (/.f64 a (*.f64 a a)) (*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (/.f64 a (*.f64 a a))))
25.4%
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
16.2%
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a))
47.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
30.0%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
17.3%
(/.f64 (*.f64 (/.f64 (*.f64 a (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) a) (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a b_2)) (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))) (*.f64 a a))
17.3%
(/.f64 (*.f64 a (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a))
22.3%
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
26.3%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) b_2)) a)
26.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a)
26.7%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
34.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
35.3%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
35.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 a b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
35.2%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
23.0%
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
11.0%
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
35.2%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
10.8%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
34.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
34.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
Compiler

Compiled 1 495 to 569 computations (61.9% saved)

regimes37.0ms (0.5%)

Memory
-0.3MiB live, 45.5MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 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) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 a b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) 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 a (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) c)) (neg.f64 b_2))) a)
(fma.f64 (neg.f64 b_2) (/.f64 a (*.f64 a a)) (*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (/.f64 a (*.f64 a a))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(/.f64 (*.f64 (/.f64 (*.f64 a (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) a) (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a (*.f64 a b_2)) (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))) (*.f64 a a))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (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)))))) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.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

4 calls:

11.0ms
a
9.0ms
c
8.0ms
b_2
7.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
73.8%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
47.4%1a
87.3%3b_2
47.4%1c
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 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) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 a b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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:

4.0ms
b_2
Results
AccuracySegmentsBranch
81.6%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 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) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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:

4.0ms
b_2
Results
AccuracySegmentsBranch
81.6%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 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) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(/.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) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 0 binary64)) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) b_2)) 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

2 calls:

4.0ms
b_2
3.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
51.0%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
67.0%2b_2
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes11.0ms (0.2%)

Memory
-32.7MiB live, 14.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 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) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
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:

5.0ms
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
34.1%1c
34.1%1a
34.1%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
34.1%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
#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:

1.0ms
c
1.0ms
a
1.0ms
b_2
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
34.0%1c
34.0%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
34.0%1a
34.0%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
Outputs
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
a
1.0ms
c
1.0ms
b_2
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
11.0%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
11.0%1c
11.0%1a
11.0%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch72.0ms (1%)

Memory
-0.4MiB live, 45.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
4.301282857149304e-66
7.96862274144291e-57
42.0ms
-8.118772373276765e+89
-1.922025470652671e+86
Samples
41.0ms205×0valid
6.0ms28×2valid
5.0ms39×1valid
3.0ms49×0invalid
Compiler

Compiled 544 to 450 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 5.0ms (26.8% of total)
ival-div: 3.0ms (16.1% of total)
adjust: 3.0ms (16.1% of total)
ival-sqrt: 3.0ms (16.1% of total)
ival-sub: 2.0ms (10.7% of total)
ival-add: 2.0ms (10.7% of total)
ival-neg: 2.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch56.0ms (0.8%)

Memory
11.9MiB live, 62.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
4.948687291041761e-81
6.288344552243383e-72
26.0ms
-8.518417083107831e-132
-2.3686195163238396e-138
Samples
15.0ms225×0valid
7.0ms101×0invalid
6.0ms40×1valid
5.0ms23×2valid
Compiler

Compiled 862 to 646 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (28.4% of total)
ival-div: 3.0ms (14.2% of total)
ival-sqrt: 3.0ms (14.2% of total)
adjust: 2.0ms (9.5% of total)
ival-sub: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
ival-neg: 2.0ms (9.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch45.0ms (0.6%)

Memory
-39.7MiB live, 5.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.948687291041761e-81
6.288344552243383e-72
43.0ms
-8.518417083107831e-132
-2.3686195163238396e-138
Compiler

Compiled 664 to 529 computations (20.3% saved)

bsearch44.0ms (0.6%)

Memory
14.7MiB live, 58.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
-1.4055234515693937e-306
1.2214828658310518e-300
Samples
24.0ms160×0valid
8.0ms124×0invalid
Compiler

Compiled 376 to 306 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-neg: 14.0ms (57.1% of total)
ival-mult: 4.0ms (16.3% of total)
ival-div: 2.0ms (8.2% of total)
ival-sqrt: 2.0ms (8.2% of total)
ival-add: 1.0ms (4.1% of total)
ival-sub: 1.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify49.0ms (0.7%)

Memory
2.5MiB live, 45.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070302
1125300
2281298
3853285
42695285
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -5600000000000000302787776389077330171344428324906882810395707517603229405007205170675712 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 7114265962740707/29642774844752946028434172162224104410437116074403984394101141506025761187823616 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 -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a) (if (<=.f64 b_2 #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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 -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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)) (/.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 (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))
Outputs
(if (<=.f64 b_2 #s(literal -5600000000000000302787776389077330171344428324906882810395707517603229405007205170675712 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 7114265962740707/29642774844752946028434172162224104410437116074403984394101141506025761187823616 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 -5600000000000000302787776389077330171344428324906882810395707517603229405007205170675712 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 7114265962740707/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a) (if (<=.f64 b_2 #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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 -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)))) a) (if (<=.f64 b_2 #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) #s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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 -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) #s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a 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 (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a 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 (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a (neg b_2))) (* a a)) #s(literal 0 binary64))

derivations650.0ms (9.5%)

Memory
9.1MiB live, 346.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05082820
117572792
273612792
080842654
08404969
130244812
083894558
08775592
131325459
087645179
039247
062241
1207238
21279238
08248238
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 338 to 70 computations (79.3% saved)

preprocess72.0ms (1%)

Memory
12.2MiB live, 58.3MiB allocated
Compiler

Compiled 880 to 212 computations (75.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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