Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

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

analyze141.0ms (2.2%)

Memory

23.7MiB live, 162.4MiB allocated; 25ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 (23.8%)

Memory

36.3MiB live, 1 533.4MiB allocated; 288ms collecting garbage

Samples

419.0ms	5 491×	0	valid
354.0ms	1 223×	2	valid
217.0ms	1 355×	1	valid
84.0ms	1 065×	0	invalid
59.0ms	187×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 855.0ms

ival-mult: 218.0ms (25.5% of total)

ival-sub: 125.0ms (14.6% of total)

adjust: 118.0ms (13.8% of total)

ival-sqrt: 113.0ms (13.2% of total)

ival-div: 104.0ms (12.2% of total)

ival-neg: 95.0ms (11.1% of total)

ival-add: 74.0ms (8.7% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain170.0ms (2.6%)

Memory

-37.2MiB live, 242.2MiB allocated; 65ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
98	0	-	1	(-1.2590588821488766e-281 3.6601184438934643e-162 -4.083717115133825e-223)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
60	1	(6.941697627059245e-120 2.124930074984599e+124 4.304136167803699e-79)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
16	0	-	1	(6.941697627059245e-120 2.124930074984599e+124 4.304136167803699e-79)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
2	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`(*.f64 b_2 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	90	0
↳	`(*.f64 b_2 b_2)`	overflow	76
↳	`(*.f64 a c)`	overflow	20
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	90
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	61	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	15	0
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	26
↳	`(*.f64 a c)`	underflow	44
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	7	0
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(*.f64 a c)`	underflow	44
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	2	0
↳	`(*.f64 b_2 b_2)`	overflow	76
↳	`(*.f64 a c)`	overflow	20

Confusion

	Predicted +	Predicted -
+	121	0
-	20	115

Precision

0.8581560283687943

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	20	0	115

Precision?

0.8581560283687943

Recall?

1.0

Freqs

test

number	freq
0	115
1	109
2	30
3	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

27.0ms	338×	0	valid
23.0ms	100×	2	valid
9.0ms	60×	1	valid
4.0ms	14×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 10.0ms (24.1% of total)

adjust: 8.0ms (19.3% of total)

ival-sqrt: 6.0ms (14.5% of total)

ival-div: 5.0ms (12.1% of total)

ival-sub: 4.0ms (9.6% of total)

ival-add: 4.0ms (9.6% of total)

ival-neg: 4.0ms (9.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess26.0ms (0.4%)

Memory

-11.5MiB live, 34.6MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (neg.f64 b_2)) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	50
2	53	50
3	98	50
4	133	50
5	145	50
6	157	50
7	170	50
0	170	50

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (neg.f64 b_2)) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (neg.f64 b_2))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 a c)
(*.f64 c a)
a
c

localize43.0ms (0.7%)

Memory

4.6MiB live, 51.7MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.40234375000000006	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.780351377082098	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	14.017844947489971	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	22.802325126047005	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

15.0ms	50×	2	valid
13.0ms	169×	0	valid
5.0ms	30×	1	valid
2.0ms	7×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.1% of total)

adjust: 4.0ms (17% of total)

ival-sqrt: 4.0ms (17% of total)

ival-div: 3.0ms (12.8% of total)

ival-sub: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

ival-neg: 1.0ms (4.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

5 → 98

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg.f64 b_2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))

Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify231.0ms (3.6%)

Memory

30.4MiB live, 198.2MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2820
1	1757	2792
2	7361	2792
0	8084	2654

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
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b_2
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(* -1 b_2)
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(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 c)) b_2) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (neg.f64 c) (fma.f64 (.f64 b_2 (/.f64 b_2 c)) #s(literal -1 binary64) a))

rewrite204.0ms (3.1%)

Memory

-8.8MiB live, 137.5MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	58	41
2	426	41
3	4925	38
0	9525	34

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 271

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg.f64 b_2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))

Outputs
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a))
(.f64 (/.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2)) a) a)
(/.f64 (-.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2))) (neg.f64 (*.f64 a a)))
(/.f64 (-.f64 (.f64 b_2 (neg.f64 a)) (.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (.f64 a a))
(/.f64 (-.f64 (.f64 b_2 (neg.f64 a)) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a)) (.f64 a (neg.f64 a)))
(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a)) (.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 a) (.f64 (neg.f64 a) b_2)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 a) (.f64 a b_2)) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 b_2 (neg.f64 a) (.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (*.f64 a a))
(/.f64 (fma.f64 a b_2 (.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 b_2 (neg.f64 a) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a)) (*.f64 a (neg.f64 a)))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)) (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a (.f64 a b_2)) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) a))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
(fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) a) (/.f64 b_2 a))
(-.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)) (/.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 a a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(-.f64 (/.f64 (.f64 b_2 b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) a) (/.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) a))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (neg.f64 a)))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))
(+.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a b_2) (.f64 a a)) (/.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) a) (*.f64 a a)))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) a)) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))
(+.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) a) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))
(+.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 a)) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a)))
(+.f64 (/.f64 (.f64 b_2 b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))
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(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 (.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 b_2 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 b_2 (/.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))))
(fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(-.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)
(-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(+.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)
(+.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))
(pow.f64 (sqrt.f64 b_2) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 1 binary64))
(pow.f64 (*.f64 b_2 b_2) #s(literal 1/2 binary64))
(pow.f64 b_2 #s(literal 1 binary64))
(neg.f64 b_2)
(sqrt.f64 (*.f64 b_2 b_2))
(fabs.f64 b_2)
(+.f64 (cosh.f64 (/.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
b_2
(.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fabs.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))))
(/.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))))
(/.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))
(neg.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fabs.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1/4 binary64) (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64)))
(.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)))
(/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (hypot.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 18 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 12 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (*.f64 a b_2) c) b_2))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2)) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) c))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (/.f64 (.f64 b_2 b_2) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 (.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(-.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(-.f64 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (neg.f64 c)) a))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 c) (neg.f64 a)))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(hypot.f64 (neg.f64 (fabs.f64 (.f64 c a))) (.f64 b_2 b_2))
(hypot.f64 (fabs.f64 (fabs.f64 (.f64 c a))) (.f64 b_2 b_2))
(hypot.f64 (fabs.f64 (.f64 c a)) (.f64 b_2 b_2))
(hypot.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(hypot.f64 (.f64 c a) (.f64 b_2 b_2))
(hypot.f64 (.f64 b_2 b_2) (neg.f64 (fabs.f64 (.f64 c a))))
(hypot.f64 (.f64 b_2 b_2) (fabs.f64 (fabs.f64 (.f64 c a))))
(hypot.f64 (.f64 b_2 b_2) (fabs.f64 (.f64 c a)))
(hypot.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(hypot.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))) (sinh.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(+.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(+.f64 (.f64 c a) (.f64 b_2 b_2))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (neg.f64 c)) a))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 c) (neg.f64 a)))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(+.f64 (.f64 b_2 b_2) (.f64 c a))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval59.0ms (0.9%)

Memory: -24.0MiB live, 72.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 12 389 to 1 647 computations (86.7% saved)

prune14.0ms (0.2%)

Memory

-12.6MiB live, 33.7MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	354	12	366
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	354	13	367

Accuracy

92.9%

Counts

367 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
	18.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
✓	54.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	9.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))))) a)
▶	43.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
▶	34.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
▶	28.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
▶	33.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
	26.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	33.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	33.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.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))
	36.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	33.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Compiler

Compiled 627 to 416 computations (33.7% saved)

simplify87.0ms (1.3%)

Memory

46.7MiB live, 92.8MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
cost-diff	1	(.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
cost-diff	0	(/.f64 b_2 a)
cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	408
0	68	408
1	111	408
2	184	408
3	437	408
4	1584	408
5	6000	399
0	8131	396

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
(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) a) b_2)) 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) a) b_2)) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
#s(literal -2 binary64)
(/.f64 b_2 a)
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 #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 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(neg.f64 b_2)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) 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) a) b_2)) b_2) b_2))))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) 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) a) b_2)) 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) a) b_2)) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 b_2 a)
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 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 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))))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 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 (+.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) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2)
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(*.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -2 binary64)) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -2 binary64)) b_2))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -2 binary64)) b_2)
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(neg.f64 b_2)

localize135.0ms (2.1%)

Memory

-44.2MiB live, 98.0MiB allocated; 53ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.780351377082098	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
accuracy	5.174981597806051	(.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
accuracy	5.591455385238491	(*.f64 (/.f64 c b_2) a)
accuracy	42.334345445701544	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
accuracy	3.780351377082098	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
accuracy	14.017844947489971	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy	39.58751771631014	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy	3.780351377082098	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
accuracy	14.017844947489971	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
accuracy	19.945265973159394	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
accuracy	0.0	(/.f64 b_2 a)
accuracy	0.0078125	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
accuracy	42.2875514024925	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
accuracy	5.1778012991467	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
accuracy	5.591455385238491	(*.f64 (/.f64 c b_2) a)
accuracy	14.017844947489971	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))

Samples

37.0ms	30×	1	valid
32.0ms	169×	0	valid
23.0ms	50×	2	valid
4.0ms	7×	3	valid

Compiler

Compiled 286 to 29 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 15.0ms (36.3% of total)

adjust: 7.0ms (16.9% of total)

ival-div: 7.0ms (16.9% of total)

ival-sub: 3.0ms (7.3% of total)

ival-sqrt: 3.0ms (7.3% of total)

ival-add: 3.0ms (7.3% of total)

ival-neg: 2.0ms (4.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory

41.3MiB live, 41.3MiB allocated; 0ms collecting garbage

Counts

21 → 125

Calls

Call 1

Inputs
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 b_2 a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(sqrt.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 (neg.f64 c) a))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 c b_2) a)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) 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))

Outputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ b_2 a)
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(/ (* a c) b_2)
(+ b_2 (* -1 (/ (* a c) b_2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a 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 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (* (/ c b_2) a) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (- (* 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)))) (/ (+ (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)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (* (/ c b_2) a) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (- (* 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)))) (/ (+ (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)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (* (/ c b_2) a) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)))
3.0ms	a	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (* (/ c b_2) a) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)))
3.0ms	b_2	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (* (/ c b_2) a) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)))

simplify168.0ms (2.6%)

Memory

3.7MiB live, 144.6MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	3105
1	1981	3074
2	7876	3074
0	8014	2924

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 124

Calls

Call 1

Inputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ b_2 a)
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(/ (* a c) b_2)
(+ b_2 (* -1 (/ (* a c) b_2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(- (pow b_2 2) (* a c))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a 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 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Outputs
(* -1/2 (/ (* a c) b_2))
(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ b_2 a)
(/.f64 b_2 a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2) (.f64 #s(literal -2 binary64) b_2))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/ (* a c) b_2)
(/.f64 (*.f64 c 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))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(.f64 (fma.f64 (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)))) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))
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(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 b_2 c) #s(literal 2 binary64) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 a b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)))
(* -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 (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (neg.f64 c) (fma.f64 (.f64 b_2 (/.f64 b_2 c)) #s(literal -1 binary64) a))

rewrite191.0ms (2.9%)

Memory

-28.0MiB live, 158.8MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	308
0	68	308
1	213	308
2	1360	308
0	8253	308

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 371

Calls

Call 1

Inputs
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 b_2 a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(sqrt.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 (neg.f64 c) a))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2)))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 c b_2) a)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) 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))

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) (fma.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) (.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))) (-.f64 (.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))) (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))) (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))))))))
(/.f64 (neg.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 b_2))) (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.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) a) b_2)) b_2) b_2))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))))))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))
(/.f64 (fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))))
(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2)))
(/.f64 (neg.f64 (-.f64 (.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) a) b_2)) b_2) b_2)))) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (/.f64 a b_2) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 2 binary64))
(fma.f64 (/.f64 c b_2) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1 binary64))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(*.f64 a (/.f64 c b_2))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b_2))
(/.f64 (*.f64 c a) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(.f64 b_2 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64))) b_2)) (neg.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64))) b_2)) (neg.f64 (+.f64 (/.f64 (fma.f64 c a (pow.f64 (.f64 (/.f64 c b_2) a) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (fma.f64 c a (pow.f64 (.f64 (/.f64 c b_2) a) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64))) b_2) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64))) b_2) (+.f64 (/.f64 (fma.f64 c a (pow.f64 (.f64 (/.f64 c b_2) a) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64)))
(/.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)))) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)))
(/.f64 (.f64 b_2 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)))) (+.f64 (/.f64 (fma.f64 c a (pow.f64 (.f64 (/.f64 c b_2) a) #s(literal 2 binary64))) (.f64 b_2 b_2)) #s(literal 1 binary64)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
(.f64 (sqrt.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))))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 1 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))))) (neg.f64 (neg.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 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 #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))))

eval74.0ms (1.1%)

Memory: 8.1MiB live, 95.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 24 235 to 2 213 computations (90.9% saved)

prune22.0ms (0.3%)

Memory

35.2MiB live, 35.2MiB allocated; 0ms collecting garbage

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	491	13	504
Fresh	3	4	7
Picked	1	4	5
Done	0	1	1
Total	495	22	517

Accuracy

92.9%

Counts

517 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.4%	(/.f64 (fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
	34.4%	(/.f64 (fma.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)))) (neg.f64 b_2)) a)
	22.3%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
	33.7%	(/.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)
▶	29.1%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
	1.6%	(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a))
✓	54.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	25.5%	(/.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)
✓	43.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
✓	34.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
	31.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a)
✓	28.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	12.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))))))) a)
	26.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	32.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2) (.f64 #s(literal -2 binary64) b_2)))) a)
	29.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
	11.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
	1.1%	(+.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))))) a)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)))
▶	33.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	33.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.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))
▶	36.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
✓	33.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Compiler

Compiled 1 412 to 725 computations (48.7% saved)

simplify98.0ms (1.5%)

Memory

-16.3MiB live, 81.2MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.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-diff	1	(+.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-diff	2	(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
cost-diff	0	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	0	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
cost-diff	0	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
cost-diff	0	(/.f64 (/.f64 c b_2) b_2)
cost-diff	0	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
cost-diff	3	(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff	0	(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) a) b_2)) b_2) b_2))))
cost-diff	0	(/.f64 (fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
cost-diff	3	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
cost-diff	14	(fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	535
0	78	479
1	137	479
2	261	479
3	645	479
4	1761	461
5	6322	455
0	8030	446

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
(fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 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) a) b_2)) 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) a) b_2)) 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) a) b_2)) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
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 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) 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 (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 (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
(/.f64 (fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 c b_2)) a b_2) b_2))) b_2) a)
(fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 c b_2)) a b_2) 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) a) b_2)) b_2) b_2))))
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 c b_2)) a 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) a) b_2)) b_2) b_2)))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 c 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) a) b_2)) b_2) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 c b_2)) a b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 c b_2)) a b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 c b_2)) a b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
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 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #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)))))
(-.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 (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 (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 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 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 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 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

localize234.0ms (3.6%)

Memory

-16.7MiB live, 308.6MiB allocated; 47ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.017844947489971	(+.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))
accuracy	19.945265973159394	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
accuracy	22.802325126047005	(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
accuracy	23.64188647104079	(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
accuracy	20.434794426217877	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy	33.15133207190331	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy	39.58751771631014	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy	0.00390625	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
accuracy	0.1640625	(/.f64 (/.f64 c b_2) b_2)
accuracy	6.241073653471463	(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
accuracy	42.37086790067201	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.00390625	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	40.97795172155111	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy	5.1778012991467	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
accuracy	5.591455385238491	(*.f64 (/.f64 c b_2) a)
accuracy	21.156967027238533	(fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))

Samples

74.0ms	84×	2	valid
53.0ms	68×	1	valid
48.0ms	88×	0	valid
19.0ms	16×	3	valid

Compiler

Compiled 364 to 45 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

adjust: 43.0ms (28.2% of total)

ival-sub: 35.0ms (22.9% of total)

ival-mult: 26.0ms (17% of total)

ival-div: 20.0ms (13.1% of total)

ival-sqrt: 11.0ms (7.2% of total)

ival-add: 9.0ms (5.9% of total)

ival-log: 5.0ms (3.3% of total)

ival-neg: 2.0ms (1.3% of total)

ival->: 1.0ms (0.7% 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)

series61.0ms (0.9%)

Memory

-6.3MiB live, 48.0MiB allocated; 8ms collecting garbage

Counts

25 → 212

Calls

Call 1

Inputs
(fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(/.f64 (fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
(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) a) b_2)) b_2) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 b_2 b_2)
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(+.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 (+.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)
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
(*.f64 (/.f64 c b_2) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) 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
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1 (/ (* a c) b_2)))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(* a c)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 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))))))))
(/ (* a c) b_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))))))))
(* (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) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) 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)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* 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))))))
(+ (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))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_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 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -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))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 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))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a))) a))) a))
(* -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)))))))
(+ (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 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 (* a c)) (pow b_2 2)) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c (pow b_2 2))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* 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))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* -1 (* (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))))))
(- (pow b_2 2) (* a c))
(* -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)))))))))
(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)))))
(/ (+ (* -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 (/ (* a c) (pow b_2 2)))))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (+ (* -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))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))))))) b_2)
(* (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)))))))
(* -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)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b_2 4))) (* 2 (/ 1 a))) (* 1/2 (/ c (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -1/16 (* (pow a 2) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b_2 6))) (* 2 (/ 1 a))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 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 (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))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 7))) (* -1/128 (/ (pow a 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (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 (/ 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 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 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)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* 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))))))
(+ (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 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -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))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (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)))))))
(+ (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:

Time	Variable		Point	Expression
10.0ms	b_2	@	0	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (exp (log (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (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 (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (sqrt (- (* b_2 b_2) (* a c))) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
7.0ms	b_2	@	inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (exp (log (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (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 (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (sqrt (- (* b_2 b_2) (* a c))) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
6.0ms	c	@	inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (exp (log (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (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 (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (sqrt (- (* b_2 b_2) (* a c))) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
6.0ms	c	@	-inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (exp (log (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (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 (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (sqrt (- (* b_2 b_2) (* a c))) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))
5.0ms	a	@	inf	((+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (/ c b_2) b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (exp (log (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (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 (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (sqrt (- (* b_2 b_2) (* a c))) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c)))

simplify216.0ms (3.3%)

Memory

20.1MiB live, 208.2MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1170	6246
1	4268	6180
0	9179	5913

Stop Event

1×	iter limit
1×	node limit

Counts

212 → 211

Calls

Call 1

Inputs
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1 (/ (* a c) b_2)))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(* a c)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 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))))))))
(/ (* a c) b_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))))))))
(* (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) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) 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)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* 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))))))
(+ (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))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_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 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -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))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 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))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a))) a))) a))
(* -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)))))))
(+ (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 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 (* a c)) (pow b_2 2)) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ c (pow b_2 2))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* 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))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* -1 (* (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))))))
(- (pow b_2 2) (* a c))
(* -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)))))))))
(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)))))
(/ (+ (* -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 (/ (* a c) (pow b_2 2)))))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (+ (* -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))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))))))) b_2)
(* (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)))))))
(* -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)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b_2 4))) (* 2 (/ 1 a))) (* 1/2 (/ c (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -1/16 (* (pow a 2) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b_2 6))) (* 2 (/ 1 a))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 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 (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))))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 7))) (* -1/128 (/ (pow a 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+ (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 (/ 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 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 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)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* 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))))))
(+ (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 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -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))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (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)))))))
(+ (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
(* -1/2 (/ (* a c) b_2))
(.f64 (/.f64 (.f64 c a) b_2) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
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(* -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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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))))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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)))))) (neg.f64 c))
(+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 1 binary64) a)))
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (pow b_2 2) (* a c)))))
(+.f64 (neg.f64 (fma.f64 (/.f64 b_2 c) (/.f64 b_2 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (log.f64 (*.f64 #s(literal 1 binary64) 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))))
(fma.f64 #s(literal -1 binary64) (+.f64 (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.f64 (*.f64 #s(literal 1 binary64) a)))
(+ (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))))
(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) c) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) a))) (neg.f64 c)) (/.f64 (.f64 b_2 b_2) a)) c)) (log.f64 (*.f64 #s(literal 1 binary64) a)))

rewrite190.0ms (2.9%)

Memory

-0.4MiB live, 188.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	410
0	78	354
1	253	337
2	1704	337
0	8566	337

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 566

Calls

Call 1

Inputs
(fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(/.f64 (fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
(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) a) b_2)) b_2) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
(*.f64 b_2 b_2)
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(+.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 (+.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)
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
(*.f64 (/.f64 c b_2) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) 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
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) (-.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))) (.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))))
(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 b_2)) #s(literal 3 binary64))) (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 (neg.f64 b_2))))))
(/.f64 (neg.f64 (-.f64 (.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) a) b_2)) b_2) b_2)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 b_2)))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (.f64 b_2 b_2)))) (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))
(/.f64 (-.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2))) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2)) (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2)) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (neg.f64 b_2))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (.f64 (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2))) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))
(/.f64 (-.f64 (.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) a) b_2)) b_2) b_2))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))))
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#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
(neg.f64 (/.f64 (neg.f64 c) b_2))
(*.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) b_2)
(*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)) (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2))) (.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)) (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) (-.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)) (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2))) (.f64 (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))) (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a))) (.f64 (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))) (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) (-.f64 (.f64 (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))) (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))) (.f64 (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (neg.f64 b_2))) (neg.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (neg.f64 b_2))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (neg.f64 b_2) (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (.f64 (neg.f64 b_2) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (neg.f64 b_2)) (-.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (neg.f64 b_2)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (neg.f64 b_2) (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (.f64 (neg.f64 b_2) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) b_2))
(fma.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2) (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
(fma.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2) (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)))
(fma.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a) (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) (.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)))
(+.f64 (.f64 (neg.f64 b_2) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)))
(+.f64 (.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) (.f64 (neg.f64 b_2) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (neg.f64 a) (.f64 b_2 #s(literal -2 binary64)))) (neg.f64 (*.f64 b_2 (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a (.f64 b_2 #s(literal 2 binary64)))) (neg.f64 (*.f64 b_2 a)))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) b_2 (.f64 (neg.f64 a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))))) (neg.f64 (*.f64 (neg.f64 a) b_2)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) b_2 (.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))))) (neg.f64 (*.f64 a b_2)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a)) (-.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))) (.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))) (fma.f64 (pow.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64)) (neg.f64 a) (.f64 (neg.f64 b_2) #s(literal -2 binary64))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
(/.f64 (fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 a)) (.f64 (neg.f64 b_2) #s(literal 2 binary64))) (*.f64 (neg.f64 b_2) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64)) a (.f64 (neg.f64 b_2) #s(literal 2 binary64))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2)) (neg.f64 a) (.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) (/.f64 (neg.f64 c) b_2)) (neg.f64 (neg.f64 a)) (.f64 (neg.f64 b_2) #s(literal 2 binary64))) (*.f64 (neg.f64 b_2) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2)) a (.f64 (neg.f64 b_2) #s(literal 2 binary64))) (*.f64 (neg.f64 b_2) a))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (neg.f64 a) (.f64 (neg.f64 b_2) #s(literal -2 binary64))) (*.f64 (neg.f64 b_2) (neg.f64 a)))
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(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 1 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (.f64 (sinh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))))))) (/.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))))))
(+.f64 (sinh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (cosh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
(+.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (sinh.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))

eval156.0ms (2.4%)

Memory: 26.9MiB live, 217.6MiB allocated; 57ms collecting garbage
Compiler: Compiled 52 159 to 4 192 computations (92% saved)

prune60.0ms (0.9%)

Memory

-9.9MiB live, 79.2MiB allocated; 13ms collecting garbage

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	925	12	937
Fresh	5	7	12
Picked	3	2	5
Done	0	5	5
Total	933	26	959

Accuracy

93.0%

Counts

959 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.4%	(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)
	22.3%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
	33.6%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #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)))))
	1.6%	(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a))
✓	54.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	17.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2))))) (.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))))))) a)
✓	25.5%	(/.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)
✓	43.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
✓	34.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
	31.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a)
✓	28.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
▶	29.6%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
	12.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))))))) a)
	26.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
▶	11.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
	1.1%	(+.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))))) a)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)))
▶	31.7%	#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
✓	36.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	11.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
	35.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
✓	33.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
	24.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) c)) b_2)))
	30.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c)))
▶	11.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Compiler

Compiled 1 860 to 931 computations (49.9% saved)

simplify141.0ms (2.2%)

Memory

17.2MiB live, 204.5MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2)
cost-diff	0	(/.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)) b_2)
cost-diff	0	#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
cost-diff	2	(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))
cost-diff	0	(.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
cost-diff	0	(*.f64 c a)
cost-diff	0	#s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a))
cost-diff	0	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))
cost-diff	0	#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
cost-diff	0	#s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
cost-diff	0	(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) a) b_2)) b_2) b_2))))
cost-diff	0	(fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2))
cost-diff	0	(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	768
0	117	757
1	203	745
2	462	738
3	1391	733
4	5805	733
0	8191	725

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)
(fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 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) a) b_2)) 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) a) b_2)) 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) a) b_2)) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)
#s(approx (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2))
(fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)
(neg.f64 a)
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))
#s(literal 1/2 binary64)
(/.f64 (*.f64 c a) b_2)
(*.f64 c a)
c
a
b_2
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
#s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a))
(*.f64 c a)
c
a
(.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(-.f64 (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)
#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
(/.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)) b_2)
(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))
(/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2)
(*.f64 #s(literal -1/8 binary64) a)
#s(literal -1/8 binary64)
a
b_2
(/.f64 (*.f64 c c) b_2)
(*.f64 c c)
c
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

Outputs
(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
(fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2)))) (neg.f64 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) a) b_2)) 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) a) b_2)) 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) a) b_2)) b_2) b_2))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) b_2)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 c b_2) a) b_2)
(*.f64 (/.f64 c b_2) a)
(/.f64 c b_2)
c
b_2
a
(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2))
(.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)
#s(approx (* (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2))
(fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)
(neg.f64 a)
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) a))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) a)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) a))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) a)
#s(literal 1/2 binary64)
(/.f64 (*.f64 c a) b_2)
(*.f64 (/.f64 c b_2) a)
(*.f64 c a)
c
a
b_2
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
#s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a))
(*.f64 c a)
c
a
(.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(-.f64 (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)
#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (.f64 (/.f64 c b_2) (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))))
(/.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)) b_2)
(.f64 (/.f64 c b_2) (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)))
(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))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)) c)
(/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2)
(*.f64 #s(literal -1/8 binary64) a)
#s(literal -1/8 binary64)
a
b_2
(/.f64 (*.f64 c c) b_2)
(*.f64 (/.f64 c b_2) c)
(*.f64 c c)
c
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

localize300.0ms (4.6%)

Memory

-2.0MiB live, 294.5MiB allocated; 27ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28714900701595925	(/.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)) b_2)
accuracy	4.483629876786224	(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))
accuracy	7.219389885881854	(/.f64 (*.f64 c c) b_2)
accuracy	41.16858387687536	#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
accuracy	12.403196083242417	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
accuracy	20.434794426217877	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))
accuracy	39.58751771631014	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))
accuracy	3.780351377082098	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
accuracy	5.365003480369254	(/.f64 (*.f64 c a) b_2)
accuracy	41.42150270021503	#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))
accuracy	42.334345445701544	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy	41.46160785242514	#s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy	42.37086790067201	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy	5.591455385238491	(*.f64 (/.f64 c b_2) a)
accuracy	21.156967027238533	(fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))
accuracy	22.802325126047005	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))

Samples

89.0ms	84×	2	valid
75.0ms	68×	1	valid
60.0ms	88×	0	valid
18.0ms	16×	3	valid

Compiler

Compiled 448 to 56 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-div: 48.0ms (29.5% of total)

adjust: 46.0ms (28.3% of total)

ival-mult: 40.0ms (24.6% of total)

ival-add: 10.0ms (6.1% of total)

ival-sub: 8.0ms (4.9% of total)

ival-sqrt: 8.0ms (4.9% of total)

ival-neg: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory

-32.6MiB live, 58.8MiB allocated; 8ms collecting garbage

Counts

27 → 241

Calls

Call 1

Inputs
(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)
(fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 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) a) b_2)) 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) a) b_2)) b_2) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
#s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a))
(*.f64 c a)
(.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(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))
#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
(/.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)) b_2)
(/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))
(*.f64 (/.f64 c b_2) a)
(/.f64 (*.f64 c a) 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)))
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(/.f64 (*.f64 c c) b_2)

Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt 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 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(* a c)
(* -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)))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/8 (/ a b_2))
(/ (* a c) b_2)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 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))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* 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))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) 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)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 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))))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* (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)))))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -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))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 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))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a))) a))) a))
(* (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 (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -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)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* 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))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* -1 (* (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))))))
(+ (* -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)))))))))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(- (pow b_2 2) (* a c))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(/ (pow c 2) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -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)
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* 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 (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))))))) b_2)
(* 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)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_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)))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b_2 4))) (* 2 (/ 1 a))) (* 1/2 (/ c (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -1/16 (* (pow a 2) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b_2 6))) (* 2 (/ 1 a))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))))))
(* -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 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 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))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt 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 (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 7))) (* -1/128 (/ (pow a 3) (pow b_2 7))))))))) (* 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 (/ (* a c) (pow b_2 2))) 1/2))
(- (* 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))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 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)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* 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))))))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (/ (pow b_2 2) c) a))
(* 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 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -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 (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -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))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (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 (/ (pow b_2 2) c)) (* -1 a))))
(* -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)))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	((/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (* 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)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ (* c a) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* c a) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (/ (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) b_2) (/ (* -1/8 a) b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* c c) b_2))
5.0ms	b_2	@	0	((/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (* 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)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ (* c a) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* c a) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (/ (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) b_2) (/ (* -1/8 a) b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* c c) b_2))
5.0ms	c	@	inf	((/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (* 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)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ (* c a) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* c a) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (/ (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) b_2) (/ (* -1/8 a) b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* c c) b_2))
5.0ms	c	@	-inf	((/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (* 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)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ (* c a) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* c a) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (/ (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) b_2) (/ (* -1/8 a) b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* c c) b_2))
5.0ms	b_2	@	-inf	((/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (* 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)))) (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (* 1/2 (/ (* c a) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* c a) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (/ (+ (* (/ (* -1/8 a) b_2) (/ (* c c) b_2)) (* -1/2 c)) b_2) (/ (* -1/8 a) b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (/ c b_2) a) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* c c) b_2))

simplify224.0ms (3.5%)

Memory

0.3MiB live, 169.1MiB allocated; 85ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1330	7264
1	4821	7202
0	8903	6887

Stop Event

1×	iter limit
1×	node limit

Counts

241 → 240

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt 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 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(* a c)
(* -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)))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/8 (/ a b_2))
(/ (* a c) b_2)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 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))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* 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))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) 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)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 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))))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* a (+ (* (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)))))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -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))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 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))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a))) a))) a))
(* (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 (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -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)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* 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))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* -1 (* (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))))))
(+ (* -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)))))))))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(- (pow b_2 2) (* a c))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(/ (pow c 2) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -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)
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* 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 (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))))))) b_2)
(* 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)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_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)))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b_2 4))) (* 2 (/ 1 a))) (* 1/2 (/ c (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -1/16 (* (pow a 2) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b_2 6))) (* 2 (/ 1 a))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))))))
(* -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 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 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))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt 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 (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 7))) (* -1/128 (/ (pow a 3) (pow b_2 7))))))))) (* 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 (/ (* a c) (pow b_2 2))) 1/2))
(- (* 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))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 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)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* 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))))))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (/ (pow b_2 2) c) a))
(* 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 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -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 (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -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))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (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 (/ (pow b_2 2) c)) (* -1 a))))
(* -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)))))

Outputs
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 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)))
(* -1/2 (/ (* a c) b_2))
(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #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)
(* (pow 1 1/4) (sqrt b_2))
(*.f64 (sqrt.f64 b_2) #s(literal 1 binary64))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 c a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 b_2) #s(literal 1 binary64)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3/32 binary64)) a) (sqrt.f64 b_2)) #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) c))) a (*.f64 (sqrt.f64 b_2) #s(literal 1 binary64)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (fma.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3/32 binary64)) (sqrt.f64 b_2) (.f64 (.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 11/384 binary64) (/.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) a) (sqrt.f64 b_2)))) a (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) c))) a (*.f64 (sqrt.f64 b_2) #s(literal 1 binary64)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)) (.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)) (.f64 #s(literal -2 binary64) b_2))
(* 1/2 (/ (* a c) b_2))
(.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 7 binary64))) #s(literal -5/128 binary64)) a (/.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 c)
(*.f64 c 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 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)) (*.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 #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 (*.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 #s(literal 1/8 binary64) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 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 #s(literal 1/2 binary64) (/.f64 c b_2))) a (.f64 #s(literal -2 binary64) b_2)) a)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) b_2) (/.f64 #s(literal -1/8 binary64) b_2) (*.f64 #s(literal -1/2 binary64) c))
(* -1/8 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/8 binary64))
(/ (* a c) b_2)
(*.f64 a (/.f64 c b_2))
(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))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)) (.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 #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 (.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 #s(literal 1/8 binary64) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 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 #s(literal 1/2 binary64) (/.f64 c b_2))) a (*.f64 #s(literal -2 binary64) b_2))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+.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)))) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (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))))))
(* (sqrt (* a c)) (sqrt -1))
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(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 b_2 b_2) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (.f64 #s(literal 1 binary64) a)))) a)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (.f64 #s(literal 1 binary64) a)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 11/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 b_2 #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64)))) c)) (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (.f64 #s(literal 1 binary64) a)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a a)) #s(literal -3/32 binary64)))) (neg.f64 c))) c) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (.f64 #s(literal 1 binary64) a)))))
(* -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))) (.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)))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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))))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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)))))) (neg.f64 c))
(* -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 (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(.f64 (fma.f64 (/.f64 b_2 c) #s(literal 2 binary64) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) (neg.f64 c))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (*.f64 b_2 (/.f64 c a)))) (neg.f64 c)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -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))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) b_2)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (pow.f64 b_2 #s(literal 3 binary64)) c) a))) (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (neg.f64 c)) (*.f64 (neg.f64 b_2) (/.f64 c a))) (neg.f64 c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(.f64 (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))) (neg.f64 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 (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))) (neg.f64 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 (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 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a)) (neg.f64 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) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.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)))) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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)))) (neg.f64 c))

rewrite316.0ms (4.9%)

Memory

21.1MiB live, 209.4MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	554
0	117	543
1	372	529
2	2544	529
0	8300	522

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 303

Calls

Call 1

Inputs
(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)
(fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 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) a) b_2)) 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) a) b_2)) b_2) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))))
#s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2))
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
#s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a))
(*.f64 c a)
(.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
(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))
#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
(/.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)) b_2)
(/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))
(*.f64 (/.f64 c b_2) a)
(/.f64 (*.f64 c a) 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)))
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(/.f64 (*.f64 c c) b_2)

Outputs
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64))) (neg.f64 a) (.f64 (neg.f64 a) (neg.f64 (neg.f64 b_2)))) (*.f64 a a))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64))) a (.f64 (neg.f64 a) (neg.f64 b_2))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64)) (neg.f64 a) (.f64 a (neg.f64 (neg.f64 b_2)))) (*.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 a) (.f64 (neg.f64 a) (neg.f64 (pow.f64 (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64))))) (.f64 a a))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b_2)) a (.f64 (neg.f64 a) (pow.f64 (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64)))) (.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (neg.f64 b_2) (neg.f64 a) (.f64 a (neg.f64 (pow.f64 (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64))))) (.f64 a (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 b_2) a (.f64 a (pow.f64 (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64)))) (.f64 a a))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64)) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) 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) a) b_2)) b_2) b_2))) #s(literal 1/4 binary64)) (neg.f64 b_2)) a))
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(/.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))) (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 (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))))) (/.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))))))
(-.f64 (/.f64 (.f64 b_2 b_2) (+.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)) (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))))
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))
(*.f64 (neg.f64 c) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 c b_2) c)
(*.f64 c (/.f64 c b_2))
(/.f64 (*.f64 (neg.f64 c) c) (neg.f64 b_2))
(/.f64 (*.f64 c c) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 c c) b_2)
(neg.f64 (/.f64 (*.f64 (neg.f64 c) c) b_2))
(fabs.f64 (/.f64 (*.f64 (neg.f64 c) c) b_2))
(fabs.f64 (*.f64 (/.f64 c b_2) c))

eval257.0ms (4%)

Memory: -32.6MiB live, 111.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 33 894 to 2 995 computations (91.2% saved)

prune62.0ms (1%)

Memory

20.3MiB live, 65.5MiB allocated; 5ms collecting garbage

Pruning

27 alts after pruning (16 fresh and 11 done)

	Pruned	Kept	Total
New	539	4	543
Fresh	2	12	14
Picked	1	4	5
Done	0	7	7
Total	542	27	569

Accuracy

93.0%

Counts

569 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.4%	(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)
	22.3%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
	34.5%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
	1.6%	(/.f64 (+.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a))
✓	54.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	17.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2))))) (.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))))))) a)
✓	25.5%	(/.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)
✓	43.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
✓	34.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
✓	28.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
✓	29.6%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
	27.6%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)) (.f64 #s(literal -2 binary64) b_2))) a))
	27.4%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) #s(approx ( (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 a b_2) #s(literal -2 binary64))))
	30.2%	(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
	12.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))))))) a)
	26.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
✓	11.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
	1.1%	(+.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))))) a)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)))
✓	36.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
	11.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
	35.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
✓	33.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
	24.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) c)) b_2)))
	30.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c)))
✓	11.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Compiler

Compiled 2 584 to 794 computations (69.3% saved)

regimes75.0ms (1.2%)

Memory

-32.6MiB live, 116.6MiB allocated; 18ms collecting garbage

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) #s(approx ( (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 a b_2) #s(literal -2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) c)) b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2) (.f64 #s(literal -2 binary64) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)) (.f64 #s(literal -2 binary64) b_2))) a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (.f64 (/.f64 a b_2) #s(literal 1/2 binary64))) c))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a)
(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)) (neg.f64 b_2))) a)
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))
#s(approx (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) 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)) b_2))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #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)))))
(/.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)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c b_2) a) b_2)) b_2) b_2)))) a)
(/.f64 (fma.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)))) (neg.f64 b_2)) a)
(/.f64 (fma.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) a) b_2)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (* (/ c b_2) a) b_2)) b_2) (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) b_2)))) (neg.f64 b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.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 (fma.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) a) b_2)) 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) a) b_2)) b_2) b_2)))) (neg.f64 b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (+.f64 (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 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a))
(+.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))))) a)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (/.f64 c b_2) a) b_2)) (neg.f64 b_2)) (.f64 #s(literal 2 binary64) (neg.f64 b_2))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 b_2))))) (.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 b_2)))) (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2))))))))))) a)

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

4 calls:

14.0ms	c
14.0ms	a
11.0ms	b_2
9.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
77.0%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
58.4%	3	`a`
86.7%	3	`b_2`
54.7%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

15 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) #s(approx ( (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 a b_2) #s(literal -2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) c)) b_2)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2) (.f64 #s(literal -2 binary64) b_2)))) a)

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
81.9%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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 (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) #s(approx ( (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 a b_2) #s(literal -2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

2 calls:

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

Accuracy	Segments	Branch
51.0%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
67.6%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB 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 (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) #s(approx ( (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 a b_2) #s(literal -2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 b_2)))
(/.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)))) #s(approx (* (+ (* (/ (* (/ c b_2) a) b_2) -1/2) 2) (neg b_2)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
67.4%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
67.3%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Calls

4 calls:

1.0ms	b_2
1.0ms	a
1.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
33.9%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
33.9%	1	`c`
33.9%	1	`a`
43.1%	2	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes19.0ms (0.3%)

Memory

-35.8MiB live, 10.5MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	c
1.0ms	a
1.0ms	b_2
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
11.9%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
11.9%	1	`c`
11.9%	1	`a`
11.9%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch42.0ms (0.7%)

Memory

22.8MiB live, 65.4MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.4469907947664882e-110	6.4712342673209754e-108
13.0ms	-1.6521819281085479e+122	-3.694563061386905e+118

Samples

13.0ms	206×	0	valid
7.0ms	17×	2	valid
5.0ms	33×	1	valid
2.0ms	29×	0	invalid

Compiler

Compiled 528 to 432 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sqrt: 6.0ms (30.9% of total)

ival-mult: 4.0ms (20.6% of total)

adjust: 2.0ms (10.3% of total)

ival-div: 2.0ms (10.3% of total)

ival-add: 2.0ms (10.3% of total)

ival-sub: 1.0ms (5.1% of total)

ival-neg: 1.0ms (5.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch30.0ms (0.5%)

Memory

8.7MiB live, 50.6MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4469907947664882e-110	6.4712342673209754e-108
18.0ms	-2.9160964581333456e-64	-1.68258294254651e-66

Samples

9.0ms	138×	0	valid
3.0ms	41×	0	invalid
2.0ms	17×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 711 to 535 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (31.4% of total)

adjust: 1.0ms (10.5% of total)

ival-div: 1.0ms (10.5% of total)

ival-sub: 1.0ms (10.5% of total)

ival-sqrt: 1.0ms (10.5% of total)

ival-add: 1.0ms (10.5% of total)

ival-neg: 1.0ms (10.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch76.0ms (1.2%)

Memory

-7.9MiB live, 48.8MiB allocated; 22ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
73.0ms	-2.3333105690773235e-290	1.2105311227544592e-291

Samples

59.0ms	176×	0	valid
5.0ms	71×	0	invalid

Compiler

Compiled 654 to 478 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (30.5% of total)

ival-div: 2.0ms (20.3% of total)

ival-add: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

ival-sqrt: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.3333105690773235e-290	1.2105311227544592e-291

Compiler

Compiled 434 to 346 computations (20.3% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.3333105690773235e-290	1.2105311227544592e-291

Compiler

Compiled 434 to 346 computations (20.3% saved)

bsearch42.0ms (0.6%)

Memory

3.6MiB live, 92.3MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	30003686548023.742	1.0581968806572456e+27

Samples

17.0ms	61×	2	valid
9.0ms	48×	1	valid
3.0ms	44×	0	valid
2.0ms	7×	3	valid
1.0ms	14×	0	invalid

Compiler

Compiled 546 to 406 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

adjust: 7.0ms (34.8% of total)

ival-mult: 4.0ms (19.9% of total)

ival-sqrt: 3.0ms (14.9% of total)

ival-div: 2.0ms (9.9% of total)

ival-sub: 2.0ms (9.9% of total)

ival-add: 2.0ms (9.9% of total)

ival-neg: 1.0ms (5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

simplify46.0ms (0.7%)

Memory

-13.5MiB live, 31.7MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	69	380
1	107	380
2	177	380
3	365	380
4	872	380
5	1866	372
6	2782	372

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 8197094012999083/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1408031805125765/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 842846360207567/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))))
(if (<=.f64 b_2 #s(literal 280000000000000 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.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 (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Outputs
(if (<=.f64 b_2 #s(literal -360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 8197094012999083/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1408031805125765/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 842846360207567/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 c) a)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))))
(if (<=.f64 b_2 #s(literal 280000000000000 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.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 (* (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg b_2)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

derivations549.0ms (8.5%)

Memory

-16.0MiB live, 424.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	410
0	78	354
1	253	337
2	1704	337
0	8566	337
0	1170	6246
1	4268	6180
0	9179	5913
0	508	2820
1	1757	2792
2	7361	2792
0	8084	2654

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 380 to 70 computations (81.6% saved)

preprocess59.0ms (0.9%)

Memory: 29.1MiB live, 75.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 964 to 212 computations (78% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

start0.0ms (0%)

analyze141.0ms (2.2%)

sample1.5s (23.8%)

explain170.0ms (2.6%)

preprocess26.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize43.0ms (0.7%)

series19.0ms (0.3%)

simplify231.0ms (3.6%)

rewrite204.0ms (3.1%)

eval59.0ms (0.9%)

prune14.0ms (0.2%)

simplify87.0ms (1.3%)

localize135.0ms (2.1%)

series28.0ms (0.4%)

simplify168.0ms (2.6%)

rewrite191.0ms (2.9%)

eval74.0ms (1.1%)

prune22.0ms (0.3%)

simplify98.0ms (1.5%)

localize234.0ms (3.6%)

series61.0ms (0.9%)

simplify216.0ms (3.3%)

rewrite190.0ms (2.9%)

eval156.0ms (2.4%)

prune60.0ms (0.9%)

simplify141.0ms (2.2%)

localize300.0ms (4.6%)

series53.0ms (0.8%)

simplify224.0ms (3.5%)

rewrite316.0ms (4.9%)

eval257.0ms (4%)

prune62.0ms (1%)

regimes75.0ms (1.2%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes19.0ms (0.3%)

bsearch42.0ms (0.7%)

bsearch30.0ms (0.5%)

bsearch76.0ms (1.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch42.0ms (0.6%)

simplify46.0ms (0.7%)

derivations549.0ms (8.5%)

preprocess59.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	44	118
1	119	116
2	238	116
3	389	116
4	505	116
5	547	116
6	568	116
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13