Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze170.0ms (2.2%)

Memory

13.8MiB live, 91.0MiB allocated

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)

sample1.6s (20.6%)

Memory

51.8MiB live, 1 292.8MiB allocated

Samples

501.0ms	5 549×	0	valid
227.0ms	1 172×	2	valid
206.0ms	1 351×	1	valid
112.0ms	1 128×	0	invalid
91.0ms	184×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 725.0ms

ival-mult: 141.0ms (19.5% of total)

ival-sqrt: 136.0ms (18.8% of total)

ival-div: 125.0ms (17.2% of total)

ival-sub: 89.0ms (12.3% of total)

adjust: 87.0ms (12% of total)

ival-add: 74.0ms (10.2% of total)

ival-neg: 61.0ms (8.4% of total)

ival-true: 7.0ms (1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain177.0ms (2.3%)

Memory

-38.6MiB live, 209.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
109	0	-	2	(-1.1933592945284687e-273 -5.213354867204614e-159 2.4182341255015186e-71)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
51	1	(6.539599627240174e+121 4.427196000744745e+94 -1.9262357625498498e+65)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
19	0	-	2	(-2.1370507070166215e-190 3.3106044145396655e-138 1.4326116860315738e-268)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
1	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	103	0
↳	`(*.f64 b_2 b_2)`	overflow	86
↳	`(*.f64 a c)`	overflow	21
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	103
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	52	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	17	0
↳	`(*.f64 b_2 b_2)`	underflow	41
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	28
↳	`(*.f64 a c)`	underflow	35
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	41
↳	`(*.f64 a c)`	underflow	35
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	1	0
↳	`(*.f64 b_2 b_2)`	overflow	86
↳	`(*.f64 a c)`	overflow	21

Confusion

	Predicted +	Predicted -
+	120	2
-	22	112

Precision

0.8450704225352113

Recall

0.9836065573770492

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	2
-	22	0	112

Precision?

0.8450704225352113

Recall?

0.9836065573770492

Freqs

test

number	freq
0	114
1	107
2	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	354×	0	valid
21.0ms	88×	2	valid
9.0ms	58×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 16.0ms (37% of total)

ival-div: 6.0ms (13.9% of total)

ival-sqrt: 6.0ms (13.9% of total)

ival-sub: 4.0ms (9.2% of total)

adjust: 4.0ms (9.2% of total)

ival-add: 4.0ms (9.2% of total)

ival-neg: 2.0ms (4.6% of total)

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

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

preprocess110.0ms (1.4%)

Memory

18.5MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	114	111
2	245	109
3	685	109
4	1777	109
5	3264	109
6	3950	109
7	4043	109
8	4135	109
9	4167	109
10	4167	109
0	10	13
0	17	13
1	28	12
2	45	12
3	74	12
4	113	12
5	189	12
6	322	12
7	475	12
8	828	12
9	942	12
10	974	12
11	985	12
12	986	12
0	986	12

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))) b_2) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(/.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)

simplify34.0ms (0.4%)

Memory

-15.0MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

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

localize41.0ms (0.5%)

Memory

17.0MiB live, 51.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21093750000000003	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.717032661014102	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	11.718553299809335	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	25.189374421539622	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

18.0ms	177×	0	valid
9.0ms	44×	2	valid
4.0ms	29×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.3% of total)

ival-div: 3.0ms (14% of total)

ival-sqrt: 3.0ms (14% of total)

ival-sub: 2.0ms (9.3% of total)

adjust: 2.0ms (9.3% of total)

ival-add: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

series30.0ms (0.4%)

Memory

-19.4MiB live, 27.6MiB allocated

Counts

5 → 98

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	c	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
3.0ms	a	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	b_2	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify508.0ms (6.6%)

Memory

-33.0MiB live, 172.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

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

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

rewrite138.0ms (1.8%)

Memory

17.1MiB live, 182.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	64	39
2	463	38
3	5920	38
0	8644	34

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.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 (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))) #s(literal 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 (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 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 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))) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.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))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 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)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.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))) #s(literal -1 binary64))))
(.f64 (pow.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))) #s(literal -1 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))))
(.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 #s(literal 1 binary64) (-.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))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.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))) #s(literal -1 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))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 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 (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 (pow.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))) #s(literal -1 binary64)) #s(literal 1 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))) (neg.f64 (pow.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))) #s(literal -1 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))) (pow.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))) #s(literal -1 binary64)))
(.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 (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) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(/.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)))) (pow.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))) #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (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 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.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))) #s(literal -1 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))))
(/.f64 (.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))) (pow.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))) #s(literal -1 binary64))) (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 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64))) (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))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (+.f64 (pow.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)) #s(literal 2 binary64)) (.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 (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 3 binary64)))
(/.f64 (.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))) #s(literal 1 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 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(/.f64 (.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))) #s(literal 1 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))) (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 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) #s(literal 1 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))) (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 (.f64 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) (fma.f64 c a (.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) b_2) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (.f64 b_2 b_2))) (.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(/.f64 (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (.f64 b_2 b_2)))
(/.f64 (-.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) b_2) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (.f64 b_2 b_2))) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (*.f64 c a)) b_2))
(/.f64 (-.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 b_2 b_2)) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (.f64 b_2 b_2)))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(/.f64 (-.f64 (.f64 (.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 b_2 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) (.f64 b_2 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (*.f64 c a))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 b_2 b_2))) (.f64 (.f64 b_2 b_2) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))))
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(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))
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(/.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 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.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))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
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(/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
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(fma.f64 (pow.f64 a #s(literal -1 binary64)) b_2 (.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64)) (.f64 b_2 (pow.f64 a #s(literal -1 binary64))))
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
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(+.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) b_2) (.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
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(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 #s(literal 1 binary64) b_2)
(.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (.f64 b_2 b_2) #s(literal -1 binary64)))
(.f64 (.f64 b_2 b_2) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 b_2 #s(literal -1 binary64))
(*.f64 b_2 #s(literal 1 binary64))
(pow.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 b_2 #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64))))
(/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 b_2 b_2))
(/.f64 (*.f64 b_2 b_2) b_2)
(neg.f64 b_2)
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(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64))
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(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64))
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(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2)
(-.f64 #s(literal 0 binary64) b_2)
(+.f64 #s(literal 0 binary64) b_2)
(+.f64 b_2 #s(literal 0 binary64))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 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))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
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(+.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 (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 (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 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal -1 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 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 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))))

eval63.0ms (0.8%)

Memory: -26.9MiB live, 85.9MiB allocated
Compiler: Compiled 15 289 to 2 194 computations (85.6% saved)

prune19.0ms (0.2%)

Memory

-3.9MiB live, 41.8MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	531	12	543
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	531	13	544

Accuracy

92.6%

Counts

544 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.6%	(/.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)
✓	55.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	18.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) a)
	17.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)))))) a)
	9.7%	(/.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)) (-.f64 (.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)
	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	30.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
▶	24.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
▶	37.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	29.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	33.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.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))))
▶	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Compiler

Compiled 653 to 418 computations (36% saved)

simplify154.0ms (2%)

Memory

17.1MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	(neg.f64 b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.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))))
cost-diff	3	(*.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)))
cost-diff	0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
cost-diff	0	(*.f64 #s(literal -2 binary64) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
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	(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
cost-diff	1	(+.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	257
0	60	257
1	98	249
2	198	249
3	459	249
4	949	245
5	1744	245
6	3145	245
7	4830	245
8	6776	245
0	8130	243

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (2.1%)

Memory

22.1MiB live, 137.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
accuracy	0.15625	(/.f64 (/.f64 c b_2) b_2)
accuracy	4.620581091324306	(*.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)))
accuracy	39.85109765339194	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.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))))
accuracy	0.0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	3.717032661014102	(/.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)
accuracy	5.555833421494502	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	42.78214774781246	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy	0.0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	3.717032661014102	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy	39.9217051187126	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.0	(/.f64 b_2 a)
accuracy	0.0078125	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
accuracy	39.831643006943004	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
accuracy	0.5039007452111204	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	3.713126411014102	(/.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)
accuracy	11.717162113050643	(+.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)))
accuracy	40.013016629367364	(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))

Samples

48.0ms	177×	0	valid
46.0ms	44×	2	valid
30.0ms	29×	1	valid
9.0ms	6×	3	valid

Compiler

Compiled 479 to 72 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-pow: 34.0ms (31.8% of total)

ival-div: 30.0ms (28.1% of total)

ival-mult: 15.0ms (14% of total)

ival-add: 7.0ms (6.5% of total)

ival-sqrt: 7.0ms (6.5% of total)

adjust: 6.0ms (5.6% of total)

ival-pow2: 4.0ms (3.7% of total)

ival-sub: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series196.0ms (2.5%)

Memory

7.0MiB live, 281.7MiB allocated

Counts

19 → 172

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
54.0ms	a	@	0	((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (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)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2))
24.0ms	c	@	inf	((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (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)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2))
21.0ms	a	@	inf	((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (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)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2))
17.0ms	b_2	@	0	((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (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)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2))
17.0ms	b_2	@	inf	((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (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)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2))

simplify187.0ms (2.4%)

Memory

-7.5MiB live, 257.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	775	4528
1	2456	4383
2	7938	4383
0	8003	4163

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 171

Calls

Call 1

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

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

rewrite161.0ms (2.1%)

Memory

-2.4MiB live, 155.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	215
0	60	209
1	222	198
2	1552	198
0	8555	198

Stop Event

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

Counts

19 → 644

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 0 binary64)) (+.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (.f64 (+.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) #s(literal 0 binary64)) b_2))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 a c (.f64 (neg.f64 b_2) b_2)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a c) b_2) b_2))) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 a c) b_2) b_2))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 a c) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 a c))
(fma.f64 (.f64 (neg.f64 b_2) #s(literal -1 binary64)) b_2 (.f64 a c))
(fma.f64 #s(literal -1 binary64) (.f64 b_2 (neg.f64 b_2)) (.f64 a c))
(fma.f64 #s(literal 1 binary64) (.f64 b_2 b_2) (.f64 a c))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 a c))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 a c))
(fma.f64 b_2 b_2 (*.f64 a c))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 a c (*.f64 (neg.f64 b_2) b_2))))
(+.f64 (.f64 a c) (.f64 b_2 b_2))
(+.f64 (.f64 b_2 b_2) (.f64 a c))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(.f64 (/.f64 c (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (pow.f64 b_2 #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (/.f64 c b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (neg.f64 c) b_2))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b_2 (neg.f64 b_2))))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) b_2))
(*.f64 (pow.f64 (/.f64 b_2 (neg.f64 c)) #s(literal -1 binary64)) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64))))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c b_2))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b_2) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) b_2) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 c (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2))
(*.f64 c (pow.f64 b_2 #s(literal -2 binary64)))
(pow.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (.f64 (neg.f64 c) #s(literal 1 binary64))) (.f64 b_2 b_2))
(/.f64 (neg.f64 (.f64 c #s(literal 1 binary64))) (neg.f64 (.f64 b_2 b_2)))
(/.f64 (*.f64 (/.f64 c b_2) #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) (neg.f64 (/.f64 b_2 c)))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b_2 b_2))
(/.f64 (.f64 (neg.f64 c) #s(literal 1 binary64)) (.f64 (neg.f64 b_2) b_2))
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 b_2 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b_2 c) b_2)))
(/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 b_2 c))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 (/.f64 c b_2) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b_2) b_2) (.f64 (neg.f64 c) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 (neg.f64 b_2)) (neg.f64 c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 b_2 c) b_2))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 c) b_2))
(/.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 b_2))
(/.f64 (neg.f64 c) (*.f64 b_2 (neg.f64 b_2)))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (/.f64 c b_2) (neg.f64 (neg.f64 b_2)))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c (*.f64 b_2 b_2))
(neg.f64 (/.f64 (/.f64 (neg.f64 c) b_2) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b_2 (neg.f64 b_2))) (/.f64 c (.f64 b_2 (neg.f64 b_2))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 b_2 b_2))) (/.f64 c (neg.f64 (.f64 b_2 b_2))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 (/.f64 (neg.f64 c) b_2) b_2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64)))

eval165.0ms (2.1%)

Memory: -5.1MiB live, 235.3MiB allocated
Compiler: Compiled 26 759 to 3 505 computations (86.9% saved)

prune62.0ms (0.8%)

Memory

0.1MiB live, 77.2MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	813	17	830
Fresh	3	4	7
Picked	3	2	5
Done	0	1	1
Total	819	24	843

Accuracy

92.6%

Counts

843 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) a)
	29.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))) (/.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
▶	32.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
✓	55.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	9.7%	(/.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)) (-.f64 (.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)
	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	11.0%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c)) a)
▶	25.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
✓	24.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	24.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
	24.4%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))))
	20.2%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
	10.9%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
▶	37.5%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	29.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
	33.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	28.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2)))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	21.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
▶	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))))
✓	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
▶	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (.f64 #s(literal -2 binary64) b_2)) a)))

Compiler

Compiled 1 201 to 813 computations (32.3% saved)

simplify123.0ms (1.6%)

Memory

29.3MiB live, 109.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
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	(neg.f64 b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
cost-diff	3	(*.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)))
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) a) c)
cost-diff	0	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
cost-diff	0	(/.f64 #s(literal -2 binary64) a)
cost-diff	0	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
cost-diff	0	(/.f64 b_2 a)
cost-diff	0	(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.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) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	337
0	76	337
1	130	330
2	275	328
3	705	328
4	1602	318
5	3008	318
6	4845	318
7	6133	318
8	7734	318
0	8109	310

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (2.3%)

Memory

-4.2MiB live, 184.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.713126411014102	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
accuracy	11.717162113050643	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy	40.013016629367364	(pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy	40.50923065905996	#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))
accuracy	0.0078125	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
accuracy	0.15625	(/.f64 (/.f64 c b_2) b_2)
accuracy	4.620581091324306	(*.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)))
accuracy	39.78726852765377	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) a)
accuracy	3.6356109396713534	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)
accuracy	3.717032661014102	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
accuracy	42.78214774781246	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2))
accuracy	0.0	(/.f64 #s(literal -2 binary64) a)
accuracy	0.17578125	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy	39.831643006943004	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
accuracy	0.0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
accuracy	0.00390625	(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy	0.015625	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy	39.85109765339194	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))

Samples

52.0ms	177×	0	valid
43.0ms	44×	2	valid
33.0ms	29×	1	valid
9.0ms	6×	3	valid

Compiler

Compiled 586 to 97 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 36.0ms (33.5% of total)

ival-pow: 23.0ms (21.4% of total)

ival-div: 17.0ms (15.8% of total)

adjust: 11.0ms (10.2% of total)

ival-add: 10.0ms (9.3% of total)

ival-pow2: 4.0ms (3.7% of total)

ival-sqrt: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series169.0ms (2.2%)

Memory

-23.7MiB live, 273.8MiB allocated

Counts

22 → 180

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	c	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* (/ c b_2) 1/2)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (* (/ c b_2) 1/2) (* -1/2 a) (/ (/ c b_2) b_2) (+ (* c a) (* b_2 b_2)))
21.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* (/ c b_2) 1/2)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (* (/ c b_2) 1/2) (* -1/2 a) (/ (/ c b_2) b_2) (+ (* c a) (* b_2 b_2)))
20.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* (/ c b_2) 1/2)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (* (/ c b_2) 1/2) (* -1/2 a) (/ (/ c b_2) b_2) (+ (* c a) (* b_2 b_2)))
19.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* (/ c b_2) 1/2)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (* (/ c b_2) 1/2) (* -1/2 a) (/ (/ c b_2) b_2) (+ (* c a) (* b_2 b_2)))
19.0ms	b_2	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* (/ c b_2) 1/2)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (* (/ c b_2) 1/2) (* -1/2 a) (/ (/ c b_2) b_2) (+ (* c a) (* b_2 b_2)))

simplify236.0ms (3.1%)

Memory

12.4MiB live, 206.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	4610
1	2483	4465
2	7986	4465
0	8050	4239

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

Calls

Call 1

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

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

rewrite159.0ms (2.1%)

Memory

17.9MiB live, 136.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	288
0	76	280
1	304	269
2	2342	269
0	8415	262

Stop Event

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

Counts

22 → 542

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 a b_2) #s(literal -3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 a b_2) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 a b_2) #s(literal -3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -2 binary64)) #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) b_2) b_2 (.f64 a (.f64 #s(literal 1/2 binary64) c)))) (neg.f64 (.f64 a b_2)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) a (.f64 b_2 (.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(.f64 c (.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 a #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 a)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 a) #s(literal 2 binary64))
(/.f64 a #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal 1/2 binary64)))
(.f64 (/.f64 c (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (pow.f64 b_2 #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (/.f64 c b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (neg.f64 c) b_2))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b_2 (neg.f64 b_2))))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) b_2))
(*.f64 (pow.f64 (/.f64 b_2 (neg.f64 c)) #s(literal -1 binary64)) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64))))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c b_2))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b_2) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) b_2) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 c (pow.f64 b_2 #s(literal -2 binary64)))
(*.f64 c (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2))
(pow.f64 (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 c b_2) #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (.f64 (neg.f64 c) #s(literal 1 binary64))) (.f64 b_2 b_2))
(/.f64 (neg.f64 (.f64 c #s(literal 1 binary64))) (neg.f64 (.f64 b_2 b_2)))
(/.f64 (/.f64 (/.f64 c b_2) #s(literal 1 binary64)) b_2)
(/.f64 (*.f64 (/.f64 c b_2) #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) (neg.f64 (/.f64 b_2 c)))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b_2 b_2))
(/.f64 (.f64 (neg.f64 c) #s(literal 1 binary64)) (.f64 (neg.f64 b_2) b_2))
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 b_2 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b_2 c) b_2)))
(/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 b_2 c))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 b_2 c) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 c) b_2))
(/.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 b_2))
(/.f64 (neg.f64 c) (*.f64 b_2 (neg.f64 b_2)))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (/.f64 c b_2) (neg.f64 (neg.f64 b_2)))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c (*.f64 b_2 b_2))
(neg.f64 (/.f64 (/.f64 (neg.f64 c) b_2) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b_2 (neg.f64 b_2))) (/.f64 c (.f64 b_2 (neg.f64 b_2))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 b_2 b_2))) (/.f64 c (neg.f64 (.f64 b_2 b_2))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 (/.f64 (neg.f64 c) b_2) b_2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)) #s(literal 3/4 binary64)) (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))) (sqrt.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a))))
(pow.f64 (.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 4 binary64))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 1 binary64))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(sqrt.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))

eval106.0ms (1.4%)

Memory: 3.3MiB live, 120.9MiB allocated
Compiler: Compiled 25 848 to 2 935 computations (88.6% saved)

prune38.0ms (0.5%)

Memory

8.8MiB live, 81.3MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	724	8	732
Fresh	2	14	16
Picked	3	2	5
Done	0	3	3
Total	729	27	756

Accuracy

92.6%

Counts

756 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))) (/.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
	24.1%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) a)
✓	32.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
✓	55.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	9.7%	(/.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)) (-.f64 (.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)
	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	11.0%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c)) a)
✓	24.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	24.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
	25.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
	24.4%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))))
▶	20.2%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
	27.1%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (/.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)) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) a))))
	10.9%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
	36.6%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	25.8%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64)))))
▶	37.5%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
	32.3%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) c) (/.f64 b_2 a) (/.f64 #s(literal -1/2 binary64) b_2)) c)))
	29.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
▶	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
▶	33.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	28.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2)))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	21.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
✓	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))))
✓	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
▶	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))

Compiler

Compiled 1 440 to 968 computations (32.8% saved)

simplify110.0ms (1.4%)

Memory

9.6MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
cost-diff	0	(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
cost-diff	1	(.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))
cost-diff	3	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a))
cost-diff	0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
cost-diff	2	(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)
cost-diff	0	(/.f64 #s(literal -2 binary64) a)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff	0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c 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	(/.f64 a b_2)
cost-diff	0	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	355
0	70	353
1	131	343
2	276	337
3	705	337
4	1619	324
5	2895	324
6	4653	324
7	5757	324
8	7181	324
0	8045	318

Stop Event

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

Calls

Call 1

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

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

localize412.0ms (5.3%)

Memory

-42.5MiB live, 283.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.8509515478409466	(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
accuracy	2.170234367490075	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
accuracy	4.759588977116861	(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
accuracy	19.141047283961328	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
accuracy	0.033535009768442016	(fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a))
accuracy	1.9520895072873465	(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)
accuracy	19.119589932263818	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
accuracy	0.0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy	0.01171875	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy	0.0546875	(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy	19.137282016876174	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.01171875	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	24.623525706711646	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy	0.0	(/.f64 a b_2)
accuracy	0.24118182795129198	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
accuracy	19.09835042213945	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))

Samples

176.0ms	38×	1	invalid
68.0ms	17×	2	valid
41.0ms	102×	0	valid
29.0ms	76×	0	invalid
12.0ms	11×	2	invalid
8.0ms	11×	1	valid
2.0ms	1×	3	valid

Compiler

Compiled 605 to 104 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-pow: 164.0ms (64.6% of total)

ival-div: 29.0ms (11.4% of total)

ival-mult: 24.0ms (9.5% of total)

ival-add: 11.0ms (4.3% of total)

adjust: 7.0ms (2.8% of total)

ival-log: 5.0ms (2% of total)

ival-pow2: 4.0ms (1.6% of total)

ival-exp: 3.0ms (1.2% of total)

ival-sqrt: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series253.0ms (3.3%)

Memory

-1.6MiB live, 362.0MiB allocated

Counts

20 → 209

Calls

Call 1

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

Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ a b_2)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ -2 a)
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(/ (- (* -1/2 (/ (* a c) (pow b_2 2))) 2) a)
(* -1 (log (* -2 (/ b_2 c))))
(+ (* -1 (log (* -2 (/ b_2 c)))) (* 1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* -1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))) (* 1/4 (/ c (pow b_2 2))))))
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* -1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))) (* -1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2)))))))))))
(log (* -2 (/ b_2 c)))
(+ (log (* -2 (/ b_2 c))) (* -1/4 (/ (* a c) (pow b_2 2))))
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))))))
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))))))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (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)))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
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(* -1/2 (/ c (pow b_2 2)))
(- (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
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(* (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)))
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(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
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(* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
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(log (* -1 (* (sqrt (/ a c)) (sqrt -1))))
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))
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(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) (pow b_2 2))
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(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2)))))
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (* 1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))) (+ (* -1/720 (/ (+ (* -15/4 (* (pow a 3) (pow c 3))) (+ (* 90 (* a (* (pow c 2) (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 360 (* c (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))))))) (pow b_2 6))) (* 1/4 (/ (* a c) (pow b_2 2))))))
(+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2)))))
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))))))
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -15/4 (* (pow a 3) (pow c 3))) (+ (* 90 (* a (* (pow c 2) (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 360 (* c (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))))))) (pow b_2 6))) (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4)))))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -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 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2))))
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (* -1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))))))
(+ (log (* 1/2 a)) (log (/ -1 b_2)))
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2)))))
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (+ (* 1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))))
(* -1/2 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* -1 (+ (log (* -2 b_2)) (* -1 (log c))))
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* 1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4))))))) (* 1/4 (/ a (pow b_2 2))))))
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* -1/2 (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4)))))) (* -1/6 (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 6))) (+ (* 3/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))) b_2)))))))))))
(+ (log (* -2 b_2)) (* -1 (log c)))
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* -1/4 (/ (* a c) (pow b_2 2)))))
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* c (+ (* -1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4)))))))))))
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* c (+ (* -1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 6))) (+ (* 3/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))) b_2)))))) (* 1/2 (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4))))))))))))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* -1 (* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3))))))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c))))
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c))) c)))
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a))) (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c))) c))) c)))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c))))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c)) (* 1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)))) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c))))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))

Calls

9 calls:

Time	Variable		Point	Expression
65.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -2 (/ a b_2)) (/ a b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ -2 a) b_2) (* 1/2 (/ c b_2))) (/ -2 a) (* (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 1/2 (/ c b_2)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
26.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -2 (/ a b_2)) (/ a b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ -2 a) b_2) (* 1/2 (/ c b_2))) (/ -2 a) (* (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 1/2 (/ c b_2)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
23.0ms	a	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -2 (/ a b_2)) (/ a b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ -2 a) b_2) (* 1/2 (/ c b_2))) (/ -2 a) (* (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 1/2 (/ c b_2)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
21.0ms	c	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -2 (/ a b_2)) (/ a b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ -2 a) b_2) (* 1/2 (/ c b_2))) (/ -2 a) (* (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 1/2 (/ c b_2)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
20.0ms	b_2	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -2 (/ a b_2)) (/ a b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ -2 a) b_2) (* 1/2 (/ c b_2))) (/ -2 a) (* (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (+ (* (/ -1/2 b_2) (/ c b_2)) (/ -2 a)) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 1/2 (/ c b_2)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))

simplify221.0ms (2.9%)

Memory

23.8MiB live, 253.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1262	8093
1	4120	7749
0	8249	7465

Stop Event

1×	iter limit
1×	node limit

Counts

209 → 209

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -2 (/ b_2 a))
(/ a b_2)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ -2 a)
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(/ (- (* -1/2 (/ (* a c) (pow b_2 2))) 2) a)
(* -1 (log (* -2 (/ b_2 c))))
(+ (* -1 (log (* -2 (/ b_2 c)))) (* 1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* -1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))) (* 1/4 (/ c (pow b_2 2))))))
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* -1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))) (* -1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2)))))))))))
(log (* -2 (/ b_2 c)))
(+ (log (* -2 (/ b_2 c))) (* -1/4 (/ (* a c) (pow b_2 2))))
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))))))
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))))))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (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)))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* -1/2 (/ c (pow b_2 2)))
(- (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2)))))
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* -1/6 (/ (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) (pow a 3))))))
(log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) (pow a 3))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)) a))) a)))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c))) (* 1/6 (/ (+ (* -6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))))))) a))) a))) a)))
(log (* -1 (* (sqrt (/ a c)) (sqrt -1))))
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a)))
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))))))) a)) (* 1/2 (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)))) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a)))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(/ (+ (* -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 (* 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 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2))))
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(* -1/2 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
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(* -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)))))))
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(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
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(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
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(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
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(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* -1 (* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3))))))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))))
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c))))
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c))) c)))
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a))) (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c))) c))) c)))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c))))
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c)) (* 1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)))) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c))))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))

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

rewrite200.0ms (2.6%)

Memory

18.0MiB live, 260.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	320
0	70	316
1	308	303
2	2674	300
0	8519	297

Stop Event

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

Counts

20 → 573

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2))
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 b_2 #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 #s(literal 1/2 binary64)))
(*.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) a))
(.f64 (.f64 (neg.f64 b_2) #s(literal 2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) a) #s(literal -1 binary64)) b_2)
(*.f64 (/.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) b_2))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) a) b_2))
(.f64 #s(literal -1 binary64) (.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
(.f64 (.f64 #s(literal -2 binary64) b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 b_2 #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b_2) a))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b_2)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 a b_2)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(pow.f64 (/.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 b_2))) (neg.f64 (.f64 a #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 (neg.f64 b_2) #s(literal 1 binary64))) (neg.f64 (.f64 a #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 b_2) #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) b_2)) (neg.f64 (.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 b_2 #s(literal 1 binary64))) (neg.f64 (.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 b_2)) (.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b_2)) a)
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 a))
(/.f64 (.f64 (neg.f64 b_2) #s(literal 1 binary64)) (.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b_2) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 (*.f64 a #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))
(/.f64 (.f64 #s(literal 1 binary64) b_2) (.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 a))
(/.f64 (.f64 b_2 #s(literal 1 binary64)) (.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 (/.f64 #s(literal -2 binary64) a) (pow.f64 b_2 #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 (neg.f64 a) b_2))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 (neg.f64 b_2) (neg.f64 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))
(/.f64 b_2 (*.f64 a #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 a b_2)))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b_2))
(neg.f64 (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 1/2 binary64))) (/.f64 b_2 (.f64 a #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) a)
(*.f64 #s(literal 1 binary64) (/.f64 a b_2))
(*.f64 (neg.f64 a) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 a (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 b_2 a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 a) #s(literal -1 binary64))
(pow.f64 (/.f64 a b_2) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 a #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (*.f64 a #s(literal 1 binary64)) b_2)
(/.f64 (/.f64 a #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b_2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 a))
(/.f64 (neg.f64 a) (neg.f64 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 a)))
(/.f64 a b_2)
(neg.f64 (/.f64 (neg.f64 a) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 (neg.f64 a) b_2))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 a)) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) c)) (neg.f64 (.f64 #s(literal -2 binary64) b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 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) c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (.f64 #s(literal 1 binary64) c) (.f64 #s(literal -2 binary64) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
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(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(exp.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(-.f64 (log.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) (log.f64 (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))
(+.f64 (log.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 a #s(literal -1 binary64))) (log.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64))))
(+.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 (pow.f64 a #s(literal -1 binary64))))
(log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 a) (log.f64 a) (+.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)) (.f64 (log.f64 a) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64))) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 3 binary64))) (fma.f64 (log.f64 a) (log.f64 a) (+.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)) (.f64 (log.f64 a) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))
(-.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(-.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 a) (log.f64 a) (+.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)) (.f64 (log.f64 a) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 3 binary64)) (fma.f64 (log.f64 a) (log.f64 a) (+.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)) (.f64 (log.f64 a) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))))
(-.f64 (log.f64 (.f64 a #s(literal 1 binary64))) (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(-.f64 (log.f64 (neg.f64 (neg.f64 a))) (log.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))))
(-.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(-.f64 (log.f64 a) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(+.f64 (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) (log.f64 a))
(+.f64 (log.f64 (neg.f64 a)) (log.f64 (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(+.f64 (log.f64 a) (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(.f64 (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a)
(.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(.f64 (neg.f64 a) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal -1 binary64)))
(.f64 a (exp.f64 (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(.f64 a (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal -1 binary64))
(pow.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 a #s(literal 1 binary64))) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 a))) (exp.f64 (log.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(/.f64 (.f64 a #s(literal 1 binary64)) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
(/.f64 (neg.f64 a) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
(neg.f64 (/.f64 (neg.f64 a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(neg.f64 (/.f64 a (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (/.f64 a (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(.f64 c (.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c))) (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 (*.f64 (neg.f64 c) #s(literal 1/2 binary64))) (neg.f64 (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) (neg.f64 c)) (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) c) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 b_2 c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(exp.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))

eval209.0ms (2.7%)

Memory: -30.2MiB live, 250.9MiB allocated
Compiler: Compiled 37 300 to 4 086 computations (89% saved)

prune80.0ms (1%)

Memory

18.1MiB live, 106.2MiB allocated

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	833	14	847
Fresh	5	12	17
Picked	1	4	5
Done	0	5	5
Total	839	35	874

Accuracy

92.6%

Counts

874 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.0%	(pow.f64 (.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64))
	20.2%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
	19.2%	(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
	29.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))) (/.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
	24.1%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) a)
✓	32.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
✓	55.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	9.7%	(/.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)) (-.f64 (.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)
	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	11.0%	(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c)) a)
✓	24.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	25.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
	19.2%	(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
	19.2%	(exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)))
	14.3%	(exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64))) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) #s(literal -1 binary64)))
	14.3%	(exp.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))) #s(literal -1 binary64)))
	11.9%	(exp.f64 (.f64 (log.f64 #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	20.3%	(exp.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
	11.8%	(exp.f64 #s(approx (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (neg.f64 (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))))
	27.1%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (/.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)) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) a))))
	10.9%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
	36.6%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	25.8%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64)))))
✓	37.5%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
	2.0%	#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 (neg.f64 b_2))) (/.f64 #s(literal 2 binary64) a)) b_2)))
	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal -2 binary64) a) (pow.f64 b_2 #s(literal -1 binary64))))
	32.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
✓	33.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	28.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2)))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	33.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
	21.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
✓	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
✓	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
✓	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))

Compiler

Compiled 2 496 to 963 computations (61.4% saved)

regimes98.0ms (1.3%)

Memory

-12.7MiB live, 63.9MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#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 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #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 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) 1/2) (/ 2 a)) (*.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) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (.f64 #s(literal -2 binary64) b_2)) a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 (neg.f64 b_2))) (/.f64 #s(literal 2 binary64) a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) c) (/.f64 b_2 a) (/.f64 #s(literal -1/2 binary64) b_2)) c)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) 1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.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))))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2)))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal -2 binary64) a) (pow.f64 b_2 #s(literal -1 binary64))))
(pow.f64 (.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))))
(exp.f64 #s(approx (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (neg.f64 (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) 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)
(exp.f64 (.f64 (log.f64 #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 b_2 c) #s(literal -2 binary64) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (/.f64 (.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)) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) a))))
(exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))) (/.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)))))) a)
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64))) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) #s(literal -1 binary64)))
(/.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)) (-.f64 (.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)
(exp.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64)) (log.f64 (.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))) #s(literal -1 binary64)))

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:

40.0ms	b_2
28.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
14.0ms	c
13.0ms	a

Results

Accuracy	Segments	Branch
55.0%	1	`a`
87.1%	3	`b_2`
55.0%	1	`c`
76.0%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
84.8%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	b_2
4.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
50.7%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
68.6%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes46.0ms (0.6%)

Memory

-34.2MiB live, 9.8MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

45.0ms

b_2

Results

Accuracy	Segments	Branch
68.5%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

4.0ms

b_2

Results

Accuracy	Segments	Branch
68.4%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#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 b_2 (/.f64 #s(literal -2 binary64) a)))

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

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 #s(literal -1/2 binary64) b_2) c))

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
68.3%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs

#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 b_2 (/.f64 #s(literal -2 binary64) a)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
37.8%	1	`a`
37.8%	1	`c`
37.8%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch91.0ms (1.2%)

Memory

-0.1MiB live, 38.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.745461877215167e-122	1.09592293730027e-116
64.0ms	-3.3137323837632655e+102	-1.9212727350936388e+100

Samples

14.0ms	211×	0	valid
5.0ms	38×	1	valid
4.0ms	54×	0	invalid
1.0ms	7×	2	valid

Compiler

Compiled 528 to 432 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 4.0ms (26.9% of total)

ival-div: 2.0ms (13.5% of total)

ival-add: 2.0ms (13.5% of total)

ival-sqrt: 2.0ms (13.5% of total)

ival-sub: 2.0ms (13.5% of total)

adjust: 1.0ms (6.7% of total)

ival-neg: 1.0ms (6.7% of total)

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

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

bsearch63.0ms (0.8%)

Memory

-2.1MiB live, 36.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.745461877215167e-122	1.09592293730027e-116
60.0ms	-2.4457927081858488e-79	-1.2105612610809546e-95

Samples

11.0ms	160×	0	valid
2.0ms	33×	0	invalid

Compiler

Compiled 919 to 687 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.6% of total)

ival-sub: 1.0ms (12.2% of total)

ival-div: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

ival-sqrt: 1.0ms (12.2% of total)

ival-neg: 1.0ms (12.2% of total)

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

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

bsearch38.0ms (0.5%)

Memory

10.7MiB live, 47.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-3.190245560239897e-303	9.971894956116798e-300

Samples

11.0ms	160×	0	valid
6.0ms	89×	0	invalid

Compiler

Compiled 596 to 436 computations (26.8% saved)

Precisions

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

ival-mult: 3.0ms (30% of total)

ival-div: 2.0ms (20% of total)

ival-sqrt: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

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

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

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-3.190245560239897e-303	9.971894956116798e-300

Compiler

Compiled 596 to 436 computations (26.8% saved)

bsearch12.0ms (0.2%)

Memory

-40.7MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.190245560239897e-303	9.971894956116798e-300

Compiler

Compiled 396 to 316 computations (20.2% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.190245560239897e-303	9.971894956116798e-300

Compiler

Compiled 396 to 316 computations (20.2% saved)

simplify77.0ms (1%)

Memory

14.2MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	67	370
1	101	357
2	178	357
3	414	357
4	837	357
5	2120	351
6	4728	351

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -2200000000000000073839738285986401121428616020538340038600028843747314954913732028157049100992669286400 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 2634790375571575/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 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 -2776783146697183/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (if (<=.f64 b_2 #s(literal 2634790375571575/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(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 (/.f64 #s(literal -1/2 binary64) b_2) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Outputs
(if (<=.f64 b_2 #s(literal -2200000000000000073839738285986401121428616020538340038600028843747314954913732028157049100992669286400 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 2634790375571575/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 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 -2776783146697183/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (if (<=.f64 b_2 #s(literal 2634790375571575/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(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 (/.f64 #s(literal -1/2 binary64) b_2) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

soundness733.0ms (9.5%)

Memory

-12.7MiB live, 347.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	320
0	70	316
1	308	303
2	2674	300
0	8519	297
0	53	288
0	76	280
1	304	269
2	2342	269
0	8415	262
0	775	4528
1	2456	4383
2	7938	4383
0	8003	4163
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611

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

Compiler

Compiled 527 to 219 computations (58.4% saved)

preprocess71.0ms (0.9%)

Memory: 36.5MiB live, 74.9MiB allocated
Compiler: Compiled 944 to 208 computations (78% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

start0.0ms (0%)

analyze170.0ms (2.2%)

sample1.6s (20.6%)

explain177.0ms (2.3%)

preprocess110.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify34.0ms (0.4%)

localize41.0ms (0.5%)

series30.0ms (0.4%)

simplify508.0ms (6.6%)

rewrite138.0ms (1.8%)

eval63.0ms (0.8%)

prune19.0ms (0.2%)

simplify154.0ms (2%)

localize158.0ms (2.1%)

series196.0ms (2.5%)

simplify187.0ms (2.4%)

rewrite161.0ms (2.1%)

eval165.0ms (2.1%)

prune62.0ms (0.8%)

simplify123.0ms (1.6%)

localize177.0ms (2.3%)

series169.0ms (2.2%)

simplify236.0ms (3.1%)

rewrite159.0ms (2.1%)

eval106.0ms (1.4%)

prune38.0ms (0.5%)

simplify110.0ms (1.4%)

localize412.0ms (5.3%)

series253.0ms (3.3%)

simplify221.0ms (2.9%)

rewrite200.0ms (2.6%)

eval209.0ms (2.7%)

prune80.0ms (1%)

regimes98.0ms (1.3%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes46.0ms (0.6%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch91.0ms (1.2%)

bsearch63.0ms (0.8%)

bsearch38.0ms (0.5%)

bsearch2.0ms (0%)

bsearch12.0ms (0.2%)

bsearch1.0ms (0%)

simplify77.0ms (1%)

soundness733.0ms (9.5%)

preprocess71.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48