quad2m (problem 3.2.1, negative)

Time bar (total: 6.5s)

start0.0ms (0%)

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

analyze165.0ms (2.5%)

Memory
-8.0MiB live, 89.0MiB allocated; 61ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
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 (23.9%)

Memory
39.3MiB live, 1 671.4MiB allocated; 362ms collecting garbage
Samples
477.0ms5 522×0valid
281.0ms1 204×2valid
195.0ms1 361×1valid
73.0ms1 106×0invalid
49.0ms169×3valid
Precisions
Click to see histograms. Total time spent on operations: 747.0ms
ival-mult: 193.0ms (25.8% of total)
ival-sub: 133.0ms (17.8% of total)
adjust: 123.0ms (16.5% of total)
ival-sqrt: 101.0ms (13.5% of total)
ival-div: 93.0ms (12.4% of total)
ival-neg: 93.0ms (12.4% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain202.0ms (3.1%)

Memory
-27.5MiB live, 226.3MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1020-2(3.2650785217620357e-205 1.320506446650817e-160 2.1128471700572524e-263)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
650-0-(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
150-2(2.70677245089566e-292 -1.9745269504309577e+99 -3.6166125533200343e+70)(/.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-rescue960
(*.f64 b_2 b_2)overflow80
(*.f64 a c)overflow23
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow96
-.f64(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation650
/.f64(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n130
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow26
(*.f64 b_2 b_2)underflow41
(*.f64 a c)underflow30
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow4
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue40
(*.f64 b_2 b_2)underflow41
(*.f64 a c)underflow30
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow4
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue40
(*.f64 b_2 b_2)overflow80
(*.f64 a c)overflow23
Confusion
Predicted +Predicted -
+1352
-10109
Precision
0.9310344827586207
Recall
0.9854014598540146
Confusion?
Predicted +Predicted MaybePredicted -
+13502
-100109
Precision?
0.9310344827586207
Recall?
0.9854014598540146
Freqs
test
numberfreq
0111
1110
233
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms330×0valid
23.0ms86×1valid
20.0ms92×2valid
1.0ms3valid
Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
adjust: 14.0ms (29.7% of total)
ival-sub: 10.0ms (21.2% of total)
ival-mult: 9.0ms (19.1% of total)
ival-sqrt: 6.0ms (12.7% of total)
ival-div: 5.0ms (10.6% of total)
ival-neg: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess21.0ms (0.3%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044118
1112118
2207118
3336118
4435118
5467118
6485118
7489118
01013
01713
12713
25113
39613
413113
513813
614613
715413
015413
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 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify5.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
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
12750
25150
39650
413150
513850
614650
715450
015450
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 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 a c)
(*.f64 c a)
a
c

localize78.0ms (1.2%)

Memory
-21.0MiB live, 25.4MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.8007812500000001
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy3.382374683685195
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy14.512973428993348
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy23.719022361308433
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
12.0ms165×0valid
10.0ms46×2valid
6.0ms43×1valid
1.0ms3valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
adjust: 4.0ms (21.9% of total)
ival-mult: 4.0ms (21.9% of total)
ival-sub: 3.0ms (16.4% of total)
ival-div: 3.0ms (16.4% of total)
ival-sqrt: 3.0ms (16.4% of total)
ival-neg: 1.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
34.4MiB live, 34.4MiB allocated; 0ms collecting garbage
Counts
5 → 97
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
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
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))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(- (* -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))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -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)))))
(* 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)))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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))))))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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
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)))
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
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
b_2
@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)))

simplify195.0ms (3%)

Memory
-21.1MiB live, 163.1MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05282715
117182692
268572679
084462560
Stop Event
iter limit
node limit
Counts
97 → 96
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
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))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(- (* -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))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -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)))))
(* 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)))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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))))))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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
(* -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 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.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)) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.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)) a (*.f64 #s(literal -2 binary64) b_2))
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 #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 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 (/.f64 #s(literal -1/2 binary64) b_2) c (*.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)) a b_2)
(pow b_2 2)
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rewrite188.0ms (2.9%)

Memory
-22.3MiB live, 203.0MiB allocated; 84ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
01741
15741
241641
3474438
0932634
Stop Event
iter limit
node limit
iter limit
Counts
5 → 238
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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (-.f64 b_2 (sqrt.f64 (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))) b_2 (fma.f64 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))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
(*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(/.f64 (/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) a) 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))) (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 a b_2) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (neg.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 (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 b_2 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 a b_2 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 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 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 9 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a))
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a)) (/.f64 (-.f64 b_2 (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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 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 (*.f64 b_2 b_2) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) a))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a)))
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 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 (*.f64 b_2 b_2) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (-.f64 b_2 (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))
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (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))) 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 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (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)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (-.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 3 binary64)))
(/.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 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.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 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 9 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 c a (*.f64 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 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(neg.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (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)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (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))) 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 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (/.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.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))) b_2)
(fma.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)) b_2)
(fma.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))) b_2)
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(fma.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))) b_2)
(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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (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)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (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)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 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 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (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)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 b_2 (/.f64 b_2 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(-.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (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)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (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)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 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)))))
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(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))))

eval67.0ms (1%)

Memory
9.2MiB live, 98.4MiB allocated; 11ms collecting garbage
Compiler

Compiled 10 643 to 1 581 computations (85.1% saved)

prune146.0ms (2.3%)

Memory
-23.7MiB live, 35.1MiB allocated; 5ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New31912331
Fresh000
Picked011
Done000
Total31913332
Accuracy
92.3%
Counts
332 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
14.7%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.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)))))) a)
33.8%
(/.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) b_2) a)) b_2) b_2)))) a)
31.5%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
24.8%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
11.7%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
24.6%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (neg.f64 b_2))) a)
22.5%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a)
31.6%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a)
34.1%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
34.0%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
36.0%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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))))
36.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Compiler

Compiled 653 to 444 computations (32% saved)

simplify94.0ms (1.5%)

Memory
14.6MiB live, 105.7MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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) b_2) a)) b_2) b_2))))
cost-diff0
(/.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) b_2) a)) b_2) b_2)))) a)
cost-diff2
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)
cost-diff4
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) 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 #s(literal -1/2 binary64) (/.f64 c b_2))
cost-diff0
(*.f64 (*.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)))) (*.f64 (*.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)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a)
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)
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) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
038346
058346
193346
2161346
3373346
41129346
54120312
66395312
77004312
87424312
97767312
08012312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.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 #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
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
#s(literal -1/2 binary64)
(/.f64 c b_2)
c
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 (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 (-.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) b_2) a)) b_2) b_2)))) a)
(-.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) b_2) a)) b_2) b_2))))
(neg.f64 b_2)
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) b_2) a)) b_2) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2)
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a))
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
a
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 #s(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 #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
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.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)))) (*.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 #s(literal -1/2 binary64) (/.f64 c b_2)) a))
#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 #s(literal -1/2 binary64) (/.f64 c b_2)) a)
(*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)
(*.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
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 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 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 (-.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) b_2) a)) b_2) b_2)))) a)
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) b_2) (neg.f64 a))
(-.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) b_2) a)) b_2) b_2))))
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))))
(neg.f64 b_2)
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) b_2) a)) b_2) b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2)
(fma.f64 (/.f64 (neg.f64 a) b_2) c b_2)
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a))
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
a

localize186.0ms (2.9%)

Memory
-3.4MiB live, 94.7MiB allocated; 9ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.5289949361229818
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2)
accuracy7.2783366880330576
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
accuracy14.512973428993348
(-.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) b_2) a)) b_2) b_2))))
accuracy23.719022361308433
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))
accuracy3.382374683685195
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
accuracy14.512973428993348
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
accuracy23.719022361308433
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy41.064224357964
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
accuracy3.382374683685195
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a)
accuracy6.110801836582294
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)
accuracy40.456379930389495
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a))
accuracy0.0
(*.f64 #s(literal -2 binary64) b_2)
accuracy3.382374683685195
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy42.21745501526381
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy0.0
(/.f64 c b_2)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
accuracy40.4277100661111
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Samples
97.0ms3valid
28.0ms165×0valid
20.0ms46×2valid
13.0ms43×1valid
Compiler

Compiled 242 to 26 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-div: 102.0ms (76.4% of total)
ival-mult: 14.0ms (10.5% of total)
adjust: 6.0ms (4.5% of total)
ival-sub: 4.0ms (3% of total)
ival-sqrt: 4.0ms (3% of total)
ival-neg: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
20 → 112
Calls
Call 1
Inputs
#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 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) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)
(/.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) b_2) a)) b_2) b_2)))) a)
(-.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) b_2) a)) b_2) b_2))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
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))))))))
(+ b_2 (* -1 (/ (* a c) b_2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ (* a c) (pow b_2 2))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ c b_2)
(- (* -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)))))))))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(- (pow b_2 2) (* a c))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -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)))))
(* 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 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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 (- (/ (* a c) (pow b_2 2)) 1)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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 (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
b_2
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
3.0ms
c
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
3.0ms
b_2
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
3.0ms
c
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
3.0ms
b_2
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))

simplify202.0ms (3.1%)

Memory
-9.1MiB live, 123.9MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05572862
118552828
272732828
080462702
Stop Event
iter limit
node limit
Counts
112 → 111
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
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))))))))
(+ b_2 (* -1 (/ (* a c) b_2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ (* a c) (pow b_2 2))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ c b_2)
(- (* -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)))))))))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(- (pow b_2 2) (* a c))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -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)))))
(* 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 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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 (- (/ (* a c) (pow b_2 2)) 1)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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 (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* -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 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.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)) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.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)) a (*.f64 #s(literal -2 binary64) b_2))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) 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 #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 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 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(+ b_2 (* -1 (/ (* a c) b_2)))
(-.f64 b_2 (/.f64 (*.f64 c 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))
(/ (* a c) (pow b_2 2))
(/.f64 (/.f64 (*.f64 c a) b_2) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (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) (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 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (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) (/.f64 (neg.f64 b_2) a))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.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 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.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)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) a)
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(*.f64 (-.f64 (*.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 b_2 a)))) a)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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)))))
(*.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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) a)
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(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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))
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 5/64 binary64) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2) (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 b_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)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 b_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))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64)))) b_2 b_2))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal 1 binary64)) (neg.f64 b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(fma.f64 (fma.f64 (*.f64 c #s(literal 1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b_2)) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2 binary64) b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal 1/8 binary64))) c (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2 binary64) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64)) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c 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))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2)
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)))) c)
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (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 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64) (/.f64 (/.f64 (neg.f64 b_2) c) a)))) c)
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) c)
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -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 (-.f64 (*.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) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.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 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.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 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (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))))))
(*.f64 (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 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #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 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) c)
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(*.f64 (fma.f64 (/.f64 a b_2) #s(literal -1 binary64) (/.f64 b_2 c)) c)
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 c)) a) c)
(* c (- (/ (pow b_2 2) c) a))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 c)) a) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (/.f64 b_2 a) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.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)))) (neg.f64 c)) (/.f64 b_2 a)) c))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -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 (neg.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 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (*.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)))) (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 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 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 (/ b_2 c)) (/ a b_2))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (/.f64 a b_2)))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(*.f64 (neg.f64 c) (-.f64 a (*.f64 b_2 (/.f64 b_2 c))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (neg.f64 c) (-.f64 a (*.f64 b_2 (/.f64 b_2 c))))

rewrite193.0ms (3%)

Memory
6.0MiB live, 62.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038275
058275
1169275
21018275
08718275
Stop Event
iter limit
node limit
iter limit
Counts
20 → 271
Calls
Call 1
Inputs
#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 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) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)
(/.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) b_2) a)) b_2) b_2)))) a)
(-.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) b_2) a)) b_2) b_2))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
Outputs
#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 #s(literal -1/2 binary64) (/.f64 c b_2))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) b_2)
(/.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 b_2)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2)))
(neg.f64 (*.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
(neg.f64 (/.f64 (neg.f64 c) b_2))
(/.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 #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))
(neg.f64 (neg.f64 #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))
(/.f64 (neg.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))) (neg.f64 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)
(neg.f64 (/.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)) (neg.f64 a)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a))
(neg.f64 (neg.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))))
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c b_2))
(*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)
(*.f64 (/.f64 c b_2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b_2) a))
(*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) a)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c)) (neg.f64 b_2))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) a) b_2)
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)
(neg.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (neg.f64 c) b_2)))
(neg.f64 (*.f64 (/.f64 (neg.f64 c) b_2) (*.f64 #s(literal -1/2 binary64) a)))
(*.f64 (/.f64 (+.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))) (/.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 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a)))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #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)))) (neg.f64 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 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 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 (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))) a) (/.f64 (neg.f64 b_2) a))))))
(/.f64 (neg.f64 (fma.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)))))) (neg.f64 (*.f64 a a)))
(/.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 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 (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))) a) (/.f64 (neg.f64 b_2) a)))))
(/.f64 (fma.f64 (neg.f64 b_2) b_2 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 (*.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 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)))
(/.f64 (fma.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 a a))
(/.f64 (-.f64 (*.f64 b_2 b_2) #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 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(neg.f64 (/.f64 (+.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 2 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a))) (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 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 (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))) a) (/.f64 (neg.f64 b_2) 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 (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))) a) (/.f64 (neg.f64 b_2) a))))))
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) (/.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 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)) (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)))
(-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 b_2) b_2) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a) (/.f64 (/.f64 (neg.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 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #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)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a))
(-.f64 (/.f64 (*.f64 (neg.f64 b_2) a) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.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 (/.f64 (*.f64 b_2 b_2) (*.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 #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 (/.f64 (*.f64 (neg.f64 b_2) b_2) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (/.f64 (*.f64 (neg.f64 b_2) b_2) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (*.f64 (/.f64 (neg.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 (neg.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 (*.f64 (neg.f64 b_2) b_2) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (/.f64 (neg.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)))))))
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(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 (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))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(neg.f64 (*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))))
(neg.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 c b_2)) (/.f64 a b_2))
(*.f64 (/.f64 a (neg.f64 b_2)) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 a b_2) (/.f64 c b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a (neg.f64 b_2)))
(*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a))
(*.f64 (/.f64 c b_2) (/.f64 a b_2))
(*.f64 a (/.f64 (/.f64 c b_2) b_2))
(/.f64 (*.f64 (/.f64 (neg.f64 c) b_2) a) (neg.f64 b_2))
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (*.f64 c a) (*.f64 b_2 b_2))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b_2) b_2) a))

eval68.0ms (1%)

Memory
-6.8MiB live, 38.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 18 039 to 1 999 computations (88.9% saved)

prune27.0ms (0.4%)

Memory
-25.6MiB live, 22.2MiB allocated; 2ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New3938401
Fresh347
Picked235
Done011
Total39816414
Accuracy
92.4%
Counts
414 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.9%
(/.f64 (fma.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 a a))
23.0%
(/.f64 (-.f64 (*.f64 b_2 b_2) #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))
31.4%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a)
49.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.5%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
25.5%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 #s(approx (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a)
24.8%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
11.7%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
24.8%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
22.5%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a)
30.2%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
34.1%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
33.2%
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a))
34.0%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
33.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
36.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Compiler

Compiled 783 to 500 computations (36.1% saved)

simplify150.0ms (2.3%)

Memory
40.2MiB live, 139.9MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b_2)
cost-diff0
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
cost-diff4
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))
cost-diff0
(*.f64 b_2 b_2)
cost-diff0
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
cost-diff0
(/.f64 (-.f64 (*.f64 b_2 b_2) #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))
cost-diff1
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))
cost-diff0
(*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
cost-diff0
(neg.f64 b_2)
cost-diff2
(fma.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)))))
cost-diff4
(/.f64 (fma.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 a a))
cost-diff0
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
cost-diff0
(neg.f64 b_2)
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
cost-diff0
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044454
075454
1138450
2361448
31223444
44258427
57010427
08074427
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
c
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
a
(/.f64 (fma.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 a a))
(fma.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)))))
(neg.f64 b_2)
b_2
a
(*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(neg.f64 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
(*.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 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a))
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 b_2 b_2)
b_2
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
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 (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)))
(neg.f64 b_2)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))))
(neg.f64 b_2)
b_2
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))
(*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
a
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
c
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 b_2 a)
a
#s(literal -2 binary64)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
a
(/.f64 (fma.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 a a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a))
(fma.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 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a))
(neg.f64 b_2)
b_2
a
(*.f64 (neg.f64 a) (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 a))
(neg.f64 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
(*.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 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a))
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2))
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 b_2 b_2)
b_2
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
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 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) a)
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(neg.f64 b_2)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2)))) a)
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))))
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2))))
(neg.f64 b_2)
b_2
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2))
(*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
a
#s(literal 1/2 binary64)

localize212.0ms (3.3%)

Memory
6.8MiB live, 241.7MiB allocated; 19ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.5303106111189613
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))
accuracy7.2783366880330576
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
accuracy14.512973428993348
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))))
accuracy40.482975495749045
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))
accuracy22.637052818097583
(/.f64 (-.f64 (*.f64 b_2 b_2) #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))
accuracy23.719022361308433
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy35.87055054884576
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy41.064224357964
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy19.519505872791658
(fma.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)))))
accuracy23.719022361308433
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy32.129898057208216
(/.f64 (fma.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 a a))
accuracy41.064224357964
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy3.382374683685195
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
accuracy14.512973428993348
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
accuracy19.415632449288037
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
accuracy23.719022361308433
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) b_2)
accuracy0.0078125
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy0.078125
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy42.25064870386149
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Samples
80.0ms75×2valid
60.0ms82×1valid
20.0ms84×0valid
13.0ms15×3valid
Compiler

Compiled 331 to 37 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 44.0ms (42.3% of total)
adjust: 22.0ms (21.2% of total)
ival-div: 16.0ms (15.4% of total)
ival-add: 7.0ms (6.7% of total)
ival-sub: 6.0ms (5.8% of total)
ival-sqrt: 4.0ms (3.8% of total)
ival-neg: 3.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series101.0ms (1.6%)

Memory
-0.3MiB live, 86.6MiB allocated; 9ms collecting garbage
Counts
23 → 226
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
(/.f64 (fma.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 a a))
(fma.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) (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))
(/.f64 (-.f64 (*.f64 b_2 b_2) #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 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 b_2 b_2)
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
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 (* a b_2))
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))))
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(* -1 (* a b_2))
(* a (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2))))
(* a (+ (* -1 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(* a (+ (* -1 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(* -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) (* a (- (* -1 (* a (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a)
(* a c)
(* -1 b_2)
(- (* 1/2 (/ (* a c) b_2)) b_2)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ (* a c) (pow b_2 2))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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 (* (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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* c (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) a)
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))))
(* (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 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -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)))))
(* (pow a 2) (+ (* -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 (+ (* (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 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) c)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a)) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(- (* -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 (* (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)))))))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
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(+ (* -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)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(- (pow b_2 2) (* a c))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -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)))))
(* 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 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* -1 (/ (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2))))))) (* 1/16 (* (pow a 2) (pow c 3))))) (pow b_2 6))) (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/4 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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 (+ a (* -1 a))) (pow a 2)))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a)))))
(* -1 (* b_2 (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))))
(* -1 (* b_2 (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a)))))))
(* -1 (* b_2 (+ a (* -1 a))))
(* -1 (* b_2 (+ a (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))))
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))))
(* a b_2)
(* -1 (* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 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 (/ (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 3) (pow c 4))) (* -1/128 (* (pow a 3) (pow c 4)))) (pow b_2 6))) (* 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))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2)))
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2)))))
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3))))))))
(+ (* -1 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2)))
(+ (* -1 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2)))))
(+ (* -1 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3))))))))
(* 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)))))))))
(+ (* -2 (/ b_2 a)) (* c (+ (* -1 (* c (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2))) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 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 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (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 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c)))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
c
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_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)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
10.0ms
b_2
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_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)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
5.0ms
c
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_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)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
5.0ms
c
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_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)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))
5.0ms
b_2
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_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)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a))

simplify237.0ms (3.7%)

Memory
-13.7MiB live, 164.8MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011056839
140256767
087156458
Stop Event
iter limit
node limit
Counts
226 → 225
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
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 (* a b_2))
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))))
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(* -1 (* a b_2))
(* a (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2))))
(* a (+ (* -1 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(* a (+ (* -1 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(* -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) (* a (- (* -1 (* a (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a)
(* a c)
(* -1 b_2)
(- (* 1/2 (/ (* a c) b_2)) b_2)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ (* a c) (pow b_2 2))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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 (* (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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* c (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) a)
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))))
(* (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 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -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)))))
(* (pow a 2) (+ (* -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 (+ (* (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 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) c)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a)) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(- (* -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 (* (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)))))))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
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(+ (* -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)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(- (pow b_2 2) (* a c))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -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)))))
(* 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 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* -1 (/ (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2))))))) (* 1/16 (* (pow a 2) (pow c 3))))) (pow b_2 6))) (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/4 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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 (+ a (* -1 a))) (pow a 2)))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a)))))
(* -1 (* b_2 (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))))
(* -1 (* b_2 (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a)))))))
(* -1 (* b_2 (+ a (* -1 a))))
(* -1 (* b_2 (+ a (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))))
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))))
(* a b_2)
(* -1 (* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 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 (/ (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 3) (pow c 4))) (* -1/128 (* (pow a 3) (pow c 4)))) (pow b_2 6))) (* 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))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2)))
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2)))))
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3))))))))
(+ (* -1 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2)))
(+ (* -1 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2)))))
(+ (* -1 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3))))))))
(* 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)))))))))
(+ (* -2 (/ b_2 a)) (* c (+ (* -1 (* c (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2))) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 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 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (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 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c)))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* -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 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 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 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (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)
(* -2 (* a b_2))
(*.f64 (*.f64 a b_2) #s(literal -2 binary64))
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))))
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* -1 (* a b_2))
(*.f64 (neg.f64 a) b_2)
(* a (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2))))
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (neg.f64 b_2)) a)
(* a (+ (* -1 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (neg.f64 b_2)) a)
(* a (+ (* -1 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (neg.f64 b_2)) a)
(* -1/2 (/ (* a c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (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 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (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 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(/ (+ (* -2 b_2) (* a (- (* -1 (* a (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 b_2 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c)) #s(literal -2 binary64) (fma.f64 (*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 b_2 b_2))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 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 (*.f64 #s(literal -2 binary64) b_2)) a)
(* a c)
(*.f64 c a)
(* -1 b_2)
(neg.f64 b_2)
(- (* 1/2 (/ (* a c) b_2)) b_2)
(-.f64 (*.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64)) 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))
(/ (* a c) (pow b_2 2))
(*.f64 (/.f64 a b_2) (/.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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(+.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64))))
(* 1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* a (- (* -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 b_2 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 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) a)
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) a)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) a)
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(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c)))) c)
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (neg.f64 (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (/.f64 b_2 a)))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 b_2 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a) (/.f64 (*.f64 c c) a)))) (neg.f64 (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 b_2 a)))))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(*.f64 (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) c)) c)
(* c (- (/ (pow b_2 2) c) a))
(*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (/.f64 b_2 a) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) c) (/.f64 b_2 a))) c))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -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) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -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) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 a (/.f64 b_2 c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 a) b_2)) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) c))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1))))))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))))))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal -1/16 binary64))))))
(* -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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (neg.f64 c)) b_2) (neg.f64 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 b_2 (/.f64 c a)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) c) a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) b_2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))) (neg.f64 c)) (*.f64 (neg.f64 b_2) (/.f64 c a))) c)))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b_2) #s(literal -1/2 binary64) (/.f64 b_2 c)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a)))

rewrite202.0ms (3.1%)

Memory
5.5MiB live, 106.2MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044348
075348
1261344
21915344
08439344
Stop Event
iter limit
node limit
iter limit
Counts
23 → 492
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
(/.f64 (fma.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 a a))
(fma.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) (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))
(/.f64 (-.f64 (*.f64 b_2 b_2) #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 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 b_2 b_2)
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) b_2 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal -2 binary64)) (/.f64 b_2 a))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a b_2))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) b_2 (*.f64 a (*.f64 #s(literal 1/2 binary64) c))) (*.f64 a b_2))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal -2 binary64)) (/.f64 b_2 a)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))))
(fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2)) c))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1/2 binary64) b_2)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 b_2))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 b_2)))
(/.f64 #s(literal 1/2 binary64) b_2)
(neg.f64 (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
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(*.f64 (sqrt.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
(*.f64 (pow.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 (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))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
(*.f64 (/.f64 c b_2) (/.f64 a b_2))
(*.f64 a (/.f64 (/.f64 c b_2) b_2))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 c) b_2) a)) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 a (/.f64 (neg.f64 c) b_2))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 c b_2) a))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 (neg.f64 c)) a) (*.f64 (neg.f64 (neg.f64 b_2)) b_2))
(/.f64 (*.f64 (/.f64 (neg.f64 c) b_2) a) (neg.f64 b_2))
(/.f64 (*.f64 a (/.f64 (neg.f64 c) b_2)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) a)) (neg.f64 b_2))
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (*.f64 c a) (*.f64 b_2 b_2))

eval153.0ms (2.4%)

Memory
-0.6MiB live, 141.5MiB allocated; 52ms collecting garbage
Compiler

Compiled 36 405 to 3 465 computations (90.5% saved)

prune34.0ms (0.5%)

Memory
29.1MiB live, 76.6MiB allocated; 5ms collecting garbage
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New76918787
Fresh437
Picked505
Done044
Total77825803
Accuracy
92.4%
Counts
803 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
30.1%
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))
22.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (/.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)) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))))
20.0%
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #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))
22.0%
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 b_2)) a))
49.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
22.6%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)
31.5%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
11.7%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
9.3%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a)
10.9%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a)
16.9%
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
24.9%
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.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))
22.0%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (neg.f64 b_2))) a)
22.5%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a)
30.2%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
34.1%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
9.8%
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 #s(literal 0 binary64) a (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2)))) (neg.f64 b_2))) (*.f64 a a))
19.7%
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
33.2%
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a))
33.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
32.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
1.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))))))
36.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
10.6%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
Compiler

Compiled 1 595 to 910 computations (42.9% saved)

simplify118.0ms (1.8%)

Memory
-30.1MiB live, 115.6MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b_2)
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)
cost-diff2
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
cost-diff0
(neg.f64 a)
cost-diff1
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))
cost-diff3
(/.f64 (neg.f64 a) a)
cost-diff6
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 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 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
cost-diff4
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
cost-diff0
(/.f64 c b_2)
cost-diff0
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048396
076380
1143370
2309365
3710365
42383365
57749365
08616365
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
c
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
(*.f64 a (-.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
(*.f64 a a)
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
(neg.f64 a)
a
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a 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
(*.f64 a a)
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))
(/.f64 (neg.f64 a) a)
(/.f64 b_2 a)
b_2
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
(neg.f64 b_2)
b_2
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
a
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
c
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a))
(*.f64 a (-.f64 (neg.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))) b_2) (neg.f64 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
(*.f64 a a)
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a))
(neg.f64 a)
a
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a 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
(*.f64 a a)
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 a) a)
#s(literal -1 binary64)
(/.f64 b_2 a)
b_2
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
a

localize153.0ms (2.4%)

Memory
18.4MiB live, 255.2MiB allocated; 16ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy14.512973428993348
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
accuracy19.415632449288037
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
accuracy23.719022361308433
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
accuracy24.483338660391528
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
accuracy8.264790280738689
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a))
accuracy23.719022361308433
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy35.49862742510219
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
accuracy41.064224357964
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy14.512973428993348
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
accuracy23.719022361308433
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy32.129898057208216
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
accuracy41.064224357964
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy0.0
(/.f64 c b_2)
accuracy0.0
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy42.25064870386149
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
accuracy42.28207995031527
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy0.0
(/.f64 #s(literal -2 binary64) a)
accuracy0.078125
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
accuracy0.2109375
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy42.25064870386149
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
Samples
49.0ms165×0valid
47.0ms51×2valid
22.0ms38×1valid
2.0ms3valid
Compiler

Compiled 296 to 43 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 29.0ms (32% of total)
ival-div: 21.0ms (23.1% of total)
adjust: 15.0ms (16.5% of total)
ival-log: 6.0ms (6.6% of total)
ival-sub: 5.0ms (5.5% of total)
ival-sqrt: 5.0ms (5.5% of total)
ival-add: 4.0ms (4.4% of total)
ival-neg: 3.0ms (3.3% of total)
ival->: 1.0ms (1.1% of total)
ival-then: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
-19.6MiB live, 72.5MiB allocated; 7ms collecting garbage
Counts
26 → 204
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal 1/2 binary64) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
(*.f64 a (-.f64 (neg.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))))
(neg.f64 b_2)
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
(/.f64 (neg.f64 a) a)
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))
(neg.f64 a)
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
(/.f64 #s(literal -2 binary64) a)
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(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))) (*.f64 a a))
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 (* a b_2))
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))))
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
-1
(* -1 (/ b_2 a))
(* -1 a)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ -2 a)
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))))))))
(/ b_2 (pow a 2))
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) (pow a 2))
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (pow a 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 a 2))
(log (pow b_2 2))
(+ (log (pow b_2 2)) (* -1 (/ (* a c) (pow b_2 2))))
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* -1/2 (/ (* a (pow c 2)) (pow b_2 4))))))
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* a (+ (* -1/2 (/ (pow c 2) (pow b_2 4))) (* -1/3 (/ (* a (pow c 3)) (pow b_2 6))))))))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* -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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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))))))
(* (sqrt (/ c (pow a 3))) (sqrt -1))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a)
(/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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)
(+ (log (neg c)) (* -1 (log (/ 1 a))))
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))))))
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (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 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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 (/ (pow b_2 2) a)) (* -1 c))))
(* -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 (* (sqrt (/ c (pow a 3))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) a))
(+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a))))
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow c 2))) (* -1/3 (/ (pow b_2 6) (* a (pow c 3))))) a)) (/ (pow b_2 2) c)) a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(/ c b_2)
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))))
(- (* -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)
(- (pow b_2 2) (* a c))
(+ (* 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)))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (sqrt -1)))
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(log (neg (* a c)))
(+ (log (neg (* a c))) (* -1 (/ (pow b_2 2) (* a c))))
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* -1/2 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))))
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow c 2)))))) (/ 1 (* a c)))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 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 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2))))
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2)))))
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2))))))
(* -2 (log (/ 1 b_2)))
(+ (* -2 (log (/ 1 b_2))) (* -1 (/ (* a c) (pow b_2 2))))
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c)))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (+ (* 1/2 (* (pow a 2) c)) (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6)))))) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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 (pow a 2)))
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2)))))))
(* -2 (log (/ -1 b_2)))
(+ (* -2 (log (/ -1 b_2))) (* -1 (/ (* a c) (pow b_2 2))))
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2)))
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2)))))
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3))))))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (* -1/2 (/ c (* a b_2))) (/ b_2 (pow a 2)))
(+ (* c (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2)))
(+ (* c (- (* c (- (* -1/16 (/ (* a c) (pow b_2 5))) (* 1/8 (/ 1 (pow b_2 3))))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2)))
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* -1/2 (/ (* (pow a 2) c) (pow b_2 4))))))
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* c (+ (* -1/2 (/ (pow a 2) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) c) (pow b_2 6))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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 (- (/ (pow b_2 2) c) a))
(* 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 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(+ (log (neg a)) (* -1 (log (/ 1 c))))
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))))))
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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 (/ (pow b_2 2) c)) (* -1 a))))
(* -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 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))))
(+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c))))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow a 2))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) c)))) c)) (/ (pow b_2 2) a)) c))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
5.0ms
c
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
4.0ms
b_2
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
4.0ms
b_2
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
3.0ms
b_2
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))

simplify516.0ms (8%)

Memory
-38.8MiB live, 254.6MiB allocated; 734ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09425626
132065517
086925262
Stop Event
iter limit
node limit
Counts
204 → 203
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 (* a b_2))
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))))
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
-1
(* -1 (/ b_2 a))
(* -1 a)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(/ -2 a)
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))))))))
(/ b_2 (pow a 2))
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) (pow a 2))
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (pow a 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 a 2))
(log (pow b_2 2))
(+ (log (pow b_2 2)) (* -1 (/ (* a c) (pow b_2 2))))
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* -1/2 (/ (* a (pow c 2)) (pow b_2 4))))))
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* a (+ (* -1/2 (/ (pow c 2) (pow b_2 4))) (* -1/3 (/ (* a (pow c 3)) (pow b_2 6))))))))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* -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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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))))))
(* (sqrt (/ c (pow a 3))) (sqrt -1))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a)
(/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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)
(+ (log (neg c)) (* -1 (log (/ 1 a))))
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))))))
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (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 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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 (/ (pow b_2 2) a)) (* -1 c))))
(* -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 (* (sqrt (/ c (pow a 3))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) a))
(+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a))))
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow c 2))) (* -1/3 (/ (pow b_2 6) (* a (pow c 3))))) a)) (/ (pow b_2 2) c)) a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(/ c b_2)
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))))
(- (* -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)
(- (pow b_2 2) (* a c))
(+ (* 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)))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (sqrt -1)))
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(log (neg (* a c)))
(+ (log (neg (* a c))) (* -1 (/ (pow b_2 2) (* a c))))
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* -1/2 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))))
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow c 2)))))) (/ 1 (* a c)))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 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 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2))))
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2)))))
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2))))))
(* -2 (log (/ 1 b_2)))
(+ (* -2 (log (/ 1 b_2))) (* -1 (/ (* a c) (pow b_2 2))))
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c)))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (+ (* 1/2 (* (pow a 2) c)) (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6)))))) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* 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 (pow a 2)))
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2)))))))
(* -2 (log (/ -1 b_2)))
(+ (* -2 (log (/ -1 b_2))) (* -1 (/ (* a c) (pow b_2 2))))
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2)))
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2)))))
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3))))))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (* -1/2 (/ c (* a b_2))) (/ b_2 (pow a 2)))
(+ (* c (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2)))
(+ (* c (- (* c (- (* -1/16 (/ (* a c) (pow b_2 5))) (* 1/8 (/ 1 (pow b_2 3))))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2)))
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* -1/2 (/ (* (pow a 2) c) (pow b_2 4))))))
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* c (+ (* -1/2 (/ (pow a 2) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) c) (pow b_2 6))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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 (- (/ (pow b_2 2) c) a))
(* 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 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(+ (log (neg a)) (* -1 (log (/ 1 c))))
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))))))
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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 (/ (pow b_2 2) c)) (* -1 a))))
(* -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 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))))
(+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (pow b_2 2) (* a c)))))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c))))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow a 2))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) c)))) c)) (/ (pow b_2 2) a)) c))))
Outputs
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (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 (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 (* a b_2))
(*.f64 (*.f64 a b_2) #s(literal -2 binary64))
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))))
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))))
(*.f64 (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 (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(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 (*.f64 #s(literal -2 binary64) b_2))
-1
#s(literal -1 binary64)
(* -1 (/ b_2 a))
(/.f64 (neg.f64 b_2) a)
(* -1 a)
(neg.f64 a)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(/ -2 a)
(/.f64 #s(literal -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 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))) 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 (*.f64 #s(literal -1/8 binary64) c) c) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(/ b_2 (pow a 2))
(/.f64 b_2 (*.f64 a a))
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2) (*.f64 a a))
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (pow a 2))
(/.f64 (fma.f64 (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))) a b_2) (*.f64 a a))
(/ (+ 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 a 2))
(/.f64 (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 (*.f64 #s(literal -1/8 binary64) c) c) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) (*.f64 a a))
(log (pow b_2 2))
(log.f64 (*.f64 b_2 b_2))
(+ (log (pow b_2 2)) (* -1 (/ (* a c) (pow b_2 2))))
(fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) (log.f64 (*.f64 b_2 b_2)))
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* -1/2 (/ (* a (pow c 2)) (pow b_2 4))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 c) (*.f64 b_2 b_2))) a (log.f64 (*.f64 b_2 b_2)))
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* a (+ (* -1/2 (/ (pow c 2) (pow b_2 4))) (* -1/3 (/ (* a (pow c 3)) (pow b_2 6))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) c) (pow.f64 b_2 #s(literal 4 binary64)))) a (/.f64 (neg.f64 c) (*.f64 b_2 b_2))) a (log.f64 (*.f64 b_2 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (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 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64) (/.f64 (neg.f64 b_2) a))))
(* 1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
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(* c (- (/ (pow b_2 2) c) a))
(*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)
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(* 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))))))
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))
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(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
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(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.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 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 b_2) a)) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.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 (/.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) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) c))) c)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 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 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (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 (-.f64 (/.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 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b_2 b_2)))) (neg.f64 c)) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (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)))) (neg.f64 c))
(* -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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.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))))) (neg.f64 c))
(* -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 (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.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)))))) (neg.f64 c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))))
(*.f64 (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 9 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c))
(+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))
(-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (pow b_2 2) (* a c)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b_2 c) (/.f64 b_2 a) (log.f64 (/.f64 #s(literal -1 binary64) c))) (log.f64 a))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c))))
(-.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) c) (/.f64 (*.f64 b_2 b_2) a)) c))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow a 2))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) c)))) c)) (/ (pow b_2 2) a)) c))))
(-.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) (*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) c))) (neg.f64 c)) (/.f64 (*.f64 b_2 b_2) a)) c))

rewrite151.0ms (2.3%)

Memory
-24.1MiB live, 121.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048329
076319
1249306
21648301
08113301
Stop Event
iter limit
node limit
iter limit
Counts
26 → 839
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal 1/2 binary64) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
(*.f64 a (-.f64 (neg.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))))
(neg.f64 b_2)
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
(/.f64 (neg.f64 a) a)
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))
(neg.f64 a)
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
(/.f64 #s(literal -2 binary64) a)
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(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))) (*.f64 a a))
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (*.f64 b_2 a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) b_2 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) b_2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 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 (neg.f64 b_2) a) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a)) (*.f64 b_2 (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 a) b_2))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) a) (*.f64 b_2 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 b_2 a))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) b_2))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) b_2))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) b_2))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) b_2))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) b_2))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 #s(literal 2 binary64) b_2))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b_2) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2)))
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eval132.0ms (2%)

Memory
45.2MiB live, 138.5MiB allocated; 27ms collecting garbage
Compiler

Compiled 39 899 to 3 904 computations (90.2% saved)

prune41.0ms (0.6%)

Memory
-20.4MiB live, 70.0MiB allocated; 7ms collecting garbage
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New1 06961 075
Fresh41216
Picked235
Done044
Total1 075251 100
Accuracy
92.4%
Counts
1 100 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) #s(approx (* (/ (neg a) a) (/ b_2 a)) (/.f64 (neg.f64 b_2) a)))
20.2%
(fma.f64 (neg.f64 a) #s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 b_2 (*.f64 a a)))) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
30.1%
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))
15.1%
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a))
22.0%
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 b_2)) a))
49.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
22.6%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)
31.5%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
11.7%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
9.3%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a)
10.9%
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a)
16.9%
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
19.7%
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a))
24.9%
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.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))
22.0%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (neg.f64 b_2))) a)
22.5%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a)
30.2%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
34.1%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
9.8%
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 #s(literal 0 binary64) a (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2)))) (neg.f64 b_2))) (*.f64 a a))
33.2%
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a))
19.4%
(*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a) a)
33.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
32.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
36.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
10.6%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
Compiler

Compiled 2 157 to 747 computations (65.4% saved)

regimes49.0ms (0.8%)

Memory
-11.7MiB live, 43.9MiB allocated; 5ms collecting garbage
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 #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) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a)
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.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)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.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 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
(/.f64 (fma.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 a a))
(*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 #s(approx (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a)
(/.f64 (-.f64 (*.f64 b_2 b_2) #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))
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) #s(approx (* (/ (neg a) a) (/ b_2 a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))
(/.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) b_2) a)) b_2) b_2)))) a)
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a)
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (neg.f64 b_2))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (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 (-.f64 (*.f64 b_2 b_2) #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))
(fma.f64 (neg.f64 a) #s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 b_2 (*.f64 a a)))) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (/.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)) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 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 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 b_2)) a))
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 #s(literal 0 binary64) a (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2)))) (neg.f64 b_2))) (*.f64 a a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.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)))))) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))))))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
Calls

4 calls:

13.0ms
a
11.0ms
c
11.0ms
b_2
10.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
79.7%5(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
49.1%1a
87.7%3b_2
49.1%1c
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes11.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 #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) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a)
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.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)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.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 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))
(/.f64 (fma.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 a a))
(*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 #s(approx (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a)
(/.f64 (-.f64 (*.f64 b_2 b_2) #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))
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) #s(approx (* (/ (neg a) a) (/ b_2 a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a)
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))
(/.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) b_2) a)) b_2) b_2)))) a)
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a))
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a)
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (neg.f64 b_2))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (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 (-.f64 (*.f64 b_2 b_2) #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))
(fma.f64 (neg.f64 a) #s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 b_2 (*.f64 a a)))) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
Calls

1 calls:

9.0ms
b_2
Results
AccuracySegmentsBranch
87.5%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 #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) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a)
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.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)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 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) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Calls

1 calls:

4.0ms
b_2
Results
AccuracySegmentsBranch
82.5%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 #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) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a)
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.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)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -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
55.8%4(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
68.4%2b_2
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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 #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) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a)
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a))
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.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)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
Outputs
#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(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
Calls

1 calls:

3.0ms
b_2
Results
AccuracySegmentsBranch
68.4%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
-30.1MiB live, 16.3MiB allocated; 1ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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)))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Calls

4 calls:

2.0ms
b_2
2.0ms
c
2.0ms
a
1.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
36.8%1a
36.8%1c
36.8%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
36.8%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
1.0ms
b_2
1.0ms
a
1.0ms
c
Results
AccuracySegmentsBranch
10.6%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
10.6%1b_2
10.6%1c
10.6%1a
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch41.0ms (0.6%)

Memory
-8.2MiB live, 37.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.770934140405263e+59
3.458819065747754e+60
26.0ms
-4.225748700151168e-34
-1.2091711119367808e-37
Samples
10.0ms156×0valid
8.0ms33×1valid
7.0ms35×2valid
2.0ms34×0invalid
Compiler

Compiled 540 to 430 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (40.7% of total)
adjust: 3.0ms (15.3% of total)
ival-sub: 3.0ms (15.3% of total)
ival-div: 2.0ms (10.2% of total)
ival-sqrt: 2.0ms (10.2% of total)
ival-neg: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.770934140405263e+59
3.458819065747754e+60
23.0ms
-9.2831294322476e-41
-3.2021740354657044e-44
Samples
7.0ms38×2valid
4.0ms62×0valid
4.0ms28×1valid
2.0ms25×0invalid
Compiler

Compiled 452 to 374 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
adjust: 3.0ms (24.8% of total)
ival-mult: 3.0ms (24.8% of total)
ival-div: 2.0ms (16.6% of total)
ival-sub: 2.0ms (16.6% of total)
ival-sqrt: 2.0ms (16.6% of total)
ival-neg: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch23.0ms (0.4%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
8.269084166897248e-46
1.7511534079945217e-34
1.0ms
-9.2831294322476e-41
-3.2021740354657044e-44
Samples
10.0ms160×0valid
2.0ms33×0invalid
Compiler

Compiled 732 to 568 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (26.5% of total)
ival-mult: 2.0ms (26.5% of total)
ival-div: 1.0ms (13.3% of total)
ival-sqrt: 1.0ms (13.3% of total)
ival-neg: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
-15.4MiB live, 30.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-4.3716180811304664e-288
1.8738796361311433e-301
Samples
11.0ms176×0valid
4.0ms65×0invalid
Compiler

Compiled 489 to 379 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (31.2% of total)
ival-sub: 2.0ms (20.8% of total)
ival-div: 2.0ms (20.8% of total)
ival-sqrt: 1.0ms (10.4% of total)
ival-neg: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Memory
-27.7MiB live, 22.0MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-3.8604477047473124e-207
-1.0134937849253761e-209
Samples
8.0ms117×0valid
4.0ms53×0invalid
2.0ms11×1valid
Compiler

Compiled 304 to 248 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.1% of total)
ival-sub: 2.0ms (25.4% of total)
ival-div: 1.0ms (12.7% of total)
ival-sqrt: 1.0ms (12.7% of total)
ival-neg: 1.0ms (12.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify20.0ms (0.3%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072331
1112331
2180331
3283331
4389331
5448331
6459331
7467331
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -972775489807449/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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)))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.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 -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.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 -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 6473261164617515/392318858461667547739736838950479151006397215279002157056 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) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -7551042814954391/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 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(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
Outputs
(if (<=.f64 b_2 #s(literal -972775489807449/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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)))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.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 -972775489807449/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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)))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) (/.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 -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.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 -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) (/.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 -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 6473261164617515/392318858461667547739736838950479151006397215279002157056 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) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 6473261164617515/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -7551042814954391/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 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(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))

derivations478.0ms (7.4%)

Memory
-17.0MiB live, 262.3MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011056839
140256767
087156458
048329
076319
1249306
21648301
08113301
05282715
117182692
268572679
084462560
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 331 to 74 computations (77.6% saved)

preprocess63.0ms (1%)

Memory
37.9MiB live, 83.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 866 to 220 computations (74.6% saved)

end0.0ms (0%)

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

Profiling

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