Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze121.0ms (1.6%)

Memory

11.0MiB live, 129.6MiB 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)

sample1.5s (18.8%)

Memory

26.0MiB live, 1 265.8MiB allocated

Samples

468.0ms	5 529×	0	valid
210.0ms	1 370×	1	valid
207.0ms	1 180×	2	valid
117.0ms	1 131×	0	invalid
42.0ms	177×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 698.0ms

ival-mult: 140.0ms (20.1% of total)

ival-div: 139.0ms (19.9% of total)

ival-sqrt: 115.0ms (16.5% of total)

ival-neg: 81.0ms (11.6% of total)

adjust: 72.0ms (10.3% of total)

ival-add: 70.0ms (10% of total)

ival-sub: 69.0ms (9.9% of total)

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

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

Bogosity

explain184.0ms (2.4%)

Memory

-13.2MiB live, 147.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
116	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
61	1	(-1.8535993375883985e-25 9.965152682951723e+126 9.848354935732755e+276)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
15	0	-	1	(1.4242890401675888e-97 2.1508317574755413e+56 2.7561455861313444e-161)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	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	112	0
↳	`(*.f64 b_2 b_2)`	overflow	95
↳	`(*.f64 a c)`	overflow	28
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	112
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	62	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	14	0
↳	`(*.f64 b_2 b_2)`	underflow	49
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	32
↳	`(*.f64 a c)`	underflow	36
↳	`(-.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	49
↳	`(*.f64 a c)`	underflow	36
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	95
↳	`(*.f64 a c)`	overflow	28

Confusion

	Predicted +	Predicted -
+	132	0
-	19	105

Precision

0.8741721854304636

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	19	0	105

Precision?

0.8741721854304636

Recall?

1.0

Freqs

test

number	freq
0	105
1	108
2	42
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms	326×	0	valid
17.0ms	86×	2	valid
11.0ms	80×	1	valid
5.0ms	20×	3	valid

Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 8.0ms (22.1% of total)

ival-sqrt: 7.0ms (19.3% of total)

ival-div: 6.0ms (16.5% of total)

adjust: 5.0ms (13.8% of total)

ival-sub: 4.0ms (11% of total)

ival-add: 4.0ms (11% of total)

ival-neg: 2.0ms (5.5% of total)

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

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

preprocess113.0ms (1.4%)

Memory

-0.2MiB live, 78.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(/.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)

simplify26.0ms (0.3%)

Memory

30.8MiB live, 30.8MiB 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	128	(+.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

localize52.0ms (0.7%)

Memory

-41.7MiB live, 55.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.6054687500000001	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.328348311528523	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	14.336102426064098	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	27.075039624112623	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

12.0ms	163×	0	valid
10.0ms	43×	2	valid
6.0ms	40×	1	valid
5.0ms	10×	3	valid

Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 5.0ms (23% of total)

adjust: 4.0ms (18.4% of total)

ival-mult: 4.0ms (18.4% of total)

ival-sqrt: 3.0ms (13.8% of total)

ival-sub: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

ival-neg: 1.0ms (4.6% of total)

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

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

series18.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB 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
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)))
2.0ms	c	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify260.0ms (3.3%)

Memory

15.0MiB live, 172.5MiB 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)

rewrite157.0ms (2%)

Memory

-3.4MiB live, 155.7MiB 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))))

eval64.0ms (0.8%)

Memory: 10.6MiB live, 119.0MiB allocated
Compiler: Compiled 15 289 to 2 194 computations (85.6% saved)

prune18.0ms (0.2%)

Memory

-15.9MiB live, 34.0MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	534	9	543
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	534	10	544

Accuracy

92.1%

Counts

544 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
	24.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
✓	50.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	31.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	27.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
▶	29.7%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) a)
▶	29.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
▶	33.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	32.7%	#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))
▶	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Compiler

Compiled 381 to 274 computations (28.1% saved)

simplify117.0ms (1.5%)

Memory

14.4MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
cost-diff	6656	(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff	0	(/.f64 #s(literal -1/8 binary64) b_2)
cost-diff	0	(/.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)
cost-diff	0	#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))
cost-diff	320	(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))
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 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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	301
0	69	295
1	107	287
2	182	287
3	345	284
4	612	284
5	981	284
6	1383	284
7	2265	284
8	5336	284
9	7750	284
0	8029	281

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

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

localize207.0ms (2.7%)

Memory

-11.0MiB live, 305.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.336160811528523	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) a)
accuracy	5.638663889136457	(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
accuracy	14.342293685832084	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
accuracy	44.55953811606008	(log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))
accuracy	3.642715684378765	(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))
accuracy	6.845257712539446	(/.f64 (.f64 (.f64 c c) a) b_2)
accuracy	9.28856629551626	(.f64 (.f64 c c) a)
accuracy	39.687408372792014	#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))
accuracy	0.00390625	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	3.328348311528523	(/.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	5.988558569765557	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	39.37644395522911	#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	3.328348311528523	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy	42.77004592333073	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.01171875	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	39.42792629216714	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Samples

101.0ms	163×	0	valid
40.0ms	43×	2	valid
21.0ms	40×	1	valid
15.0ms	10×	3	valid

Compiler

Compiled 566 to 82 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 40.0ms (35.1% of total)

ival-div: 17.0ms (14.9% of total)

ival-exp: 13.0ms (11.4% of total)

ival-log: 13.0ms (11.4% of total)

adjust: 7.0ms (6.1% of total)

ival-sub: 7.0ms (6.1% of total)

ival-add: 7.0ms (6.1% of total)

ival-pow2: 4.0ms (3.5% of total)

ival-sqrt: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

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

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

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

series207.0ms (2.7%)

Memory

-3.4MiB live, 268.3MiB allocated

Counts

21 → 201

Calls

Call 1

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

Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ a b_2))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
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 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))))))))
(* a (pow c 2))
(/ (* a (pow c 2)) b_2)
(log (pow b_2 4))
(+ (log (pow b_2 4)) (* 2 (/ (* a c) (pow b_2 2))))
(+ (log (pow b_2 4)) (* a (+ (* 1/2 (* a (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4)))))) (* 2 (/ c (pow b_2 2))))))
(+ (log (pow b_2 4)) (* a (+ (* 2 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -12 (/ (pow c 3) (pow b_2 6))) (* 16 (/ (pow c 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4))))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(sqrt (* a c))
(* 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 (+ (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))))))
(+ (log (pow c 2)) (* -2 (log (/ 1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow c 3))) (* 16 (/ (pow b_2 6) (pow c 3)))) (pow a 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* (sqrt (* a c)) (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 (+ (* (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)))
(+ (log (pow c 2)) (* -2 (log (/ -1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) a))) a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow c 3))) (* 12 (/ (pow b_2 6) (pow c 3)))) a)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))))) a))) 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)))
(/ 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 b_2)
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ -1/8 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))))))))
(+ (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)
(log (* (pow a 2) (pow c 2)))
(+ (log (* (pow a 2) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (* 2 (/ 1 (* a c))))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* (pow b_2 2) (- (* 2/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (* 2 (/ 1 (* a c))))))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (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)))))))
(/ (+ (* -1/8 (/ (* (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)
(* -4 (log (/ 1 b_2)))
(+ (* -4 (log (/ 1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2))))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_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))))))))
(* -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)))))))
(* -4 (log (/ -1 b_2)))
(+ (* -4 (log (/ -1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 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 2))) 1/2))
(+ 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 (/ (* (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))))
(+ (log (pow b_2 4)) (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4)))))) (* 2 (/ a (pow b_2 2))))))
(+ (log (pow b_2 4)) (* c (+ (* 2 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -12 (/ (pow a 3) (pow b_2 6))) (* 16 (/ (pow a 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4))))))))))
(* 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)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (+ (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 (+ (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)))))))
(+ (log (pow a 2)) (* -2 (log (/ 1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow a 3))) (* 16 (/ (pow b_2 6) (pow a 3)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ 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 (/ 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)))))
(+ (log (pow a 2)) (* -2 (log (/ -1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c))) c))))

Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -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) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (log (pow (+ (* c a) (* b_2 b_2)) 2)))
22.0ms	b_2	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -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) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (log (pow (+ (* c a) (* b_2 b_2)) 2)))
20.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -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) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (log (pow (+ (* c a) (* b_2 b_2)) 2)))
20.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -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) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (log (pow (+ (* c a) (* b_2 b_2)) 2)))
20.0ms	b_2	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -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) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (log (pow (+ (* c a) (* b_2 b_2)) 2)))

simplify427.0ms (5.5%)

Memory

-30.8MiB live, 138.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	981	5467
1	3054	5297
0	8676	5023

Stop Event

1×	iter limit
1×	node limit

Counts

201 → 200

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -1/2 (/ a b_2))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
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 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))))))))
(* a (pow c 2))
(/ (* a (pow c 2)) b_2)
(log (pow b_2 4))
(+ (log (pow b_2 4)) (* 2 (/ (* a c) (pow b_2 2))))
(+ (log (pow b_2 4)) (* a (+ (* 1/2 (* a (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4)))))) (* 2 (/ c (pow b_2 2))))))
(+ (log (pow b_2 4)) (* a (+ (* 2 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -12 (/ (pow c 3) (pow b_2 6))) (* 16 (/ (pow c 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4))))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(sqrt (* a c))
(* 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 (+ (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))))))
(+ (log (pow c 2)) (* -2 (log (/ 1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow c 3))) (* 16 (/ (pow b_2 6) (pow c 3)))) (pow a 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* (sqrt (* a c)) (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 (+ (* (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)))
(+ (log (pow c 2)) (* -2 (log (/ -1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) a))) a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow c 3))) (* 12 (/ (pow b_2 6) (pow c 3)))) a)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))))) a))) 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)))
(/ 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 b_2)
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ -1/8 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))))))))
(+ (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)
(log (* (pow a 2) (pow c 2)))
(+ (log (* (pow a 2) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (* 2 (/ 1 (* a c))))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* (pow b_2 2) (- (* 2/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (* 2 (/ 1 (* a c))))))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (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)))))))
(/ (+ (* -1/8 (/ (* (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)
(* -4 (log (/ 1 b_2)))
(+ (* -4 (log (/ 1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2))))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_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))))))))
(* -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)))))))
(* -4 (log (/ -1 b_2)))
(+ (* -4 (log (/ -1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 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 2))) 1/2))
(+ 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 (/ (* (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))))
(+ (log (pow b_2 4)) (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4)))))) (* 2 (/ a (pow b_2 2))))))
(+ (log (pow b_2 4)) (* c (+ (* 2 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -12 (/ (pow a 3) (pow b_2 6))) (* 16 (/ (pow a 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4))))))))))
(* 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)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (+ (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 (+ (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)))))))
(+ (log (pow a 2)) (* -2 (log (/ 1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow a 3))) (* 16 (/ (pow b_2 6) (pow a 3)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ 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 (/ 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)))))
(+ (log (pow a 2)) (* -2 (log (/ -1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c))) c))))

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

rewrite193.0ms (2.5%)

Memory

-18.6MiB live, 213.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	244
0	69	238
1	230	224
2	1537	221
0	8406	221

Stop Event

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

Counts

21 → 580

Calls

Call 1

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

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

eval99.0ms (1.3%)

Memory: 35.1MiB live, 152.4MiB allocated
Compiler: Compiled 26 726 to 3 296 computations (87.7% saved)

prune34.0ms (0.4%)

Memory

1.2MiB live, 77.4MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	761	19	780
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	764	26	790

Accuracy

96.1%

Counts

790 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
	24.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
✓	50.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	31.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	16.1%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 c)) #s(literal -2 binary64) (log.f64 (*.f64 a a)))) #s(literal 1/4 binary64)))) a)
	11.5%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64)))) a)
	12.1%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (*.f64 a a)))) #s(literal 1/4 binary64)))) a)
	15.6%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64)))) a)
▶	30.2%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
	20.8%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (log.f64 (.f64 (.f64 (*.f64 c c) a) a))) #s(literal 1/4 binary64)))) a)
	29.8%	(/.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)
▶	29.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c)))) a)
✓	29.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
▶	33.3%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
✓	33.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	14.4%	(/.f64 #s(approx (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)))) a)
	33.2%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	33.2%	(.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) a))
	14.6%	(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)))
	38.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	16.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
▶	38.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.7%	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
▶	14.4%	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 1 152 to 868 computations (24.7% saved)

simplify137.0ms (1.8%)

Memory

-3.1MiB live, 115.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64))))
cost-diff	0	(/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c))
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c))))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c)))) a)
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff	0	(*.f64 a (/.f64 c b_2))
cost-diff	0	(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	319
0	70	311
1	112	303
2	185	303
3	327	303
4	586	303
5	1033	303
6	1593	303
7	2513	303
8	3956	303
9	6083	303
0	8079	297

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

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

localize165.0ms (2.1%)

Memory

-16.9MiB live, 181.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(log.f64 (/.f64 #s(literal -1 binary64) b_2))
accuracy	0.03125	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
accuracy	2.5254902793269105	(exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
accuracy	7.886894424556248	#s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64)))
accuracy	0.03125	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c)))) a)
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c)))
accuracy	2.4074108296218855	(/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c))
accuracy	27.885292783901445	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c))))
accuracy	0.0	(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
accuracy	0.03125	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
accuracy	2.9443070786715797	(*.f64 a (/.f64 c b_2))
accuracy	27.885292783901445	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.0078125	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy	27.585330485115332	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.1015625	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	27.8882223054487	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Samples

92.0ms	142×	0	invalid
30.0ms	114×	0	valid

Compiler

Compiled 557 to 90 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-log: 54.0ms (53.6% of total)

ival-div: 18.0ms (17.9% of total)

ival-mult: 15.0ms (14.9% of total)

ival-add: 4.0ms (4% of total)

ival-exp: 3.0ms (3% of total)

ival-pow2: 3.0ms (3% of total)

ival-sqrt: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series255.0ms (3.3%)

Memory

15.1MiB live, 366.4MiB allocated

Counts

21 → 223

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 #s(literal -1/2 binary64) b_2)
#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 a (/.f64 c b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c))))
(/.f64 (/.f64 b_2 a) (*.f64 #s(literal -1/2 binary64) c))
(+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
(neg.f64 b_2)
(.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64))
#s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64)))
(exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(log.f64 (/.f64 #s(literal -1 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))))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (* a c) b_2)
(* -2 (/ b_2 (* a c)))
(* 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)))))))))
(* 1/4 (log (pow b_2 4)))
(+ (* 1/4 (log (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))
(+ (* 1/4 (log (pow b_2 4))) (* a (+ (* 1/8 (* a (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4)))))) (* 1/2 (/ c (pow b_2 2))))))
(+ (* 1/4 (log (pow b_2 4))) (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* 1/24 (* a (+ (* -12 (/ (pow c 3) (pow b_2 6))) (* 16 (/ (pow c 3) (pow b_2 6)))))) (* 1/8 (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4))))))))))
(log (pow b_2 4))
(+ (log (pow b_2 4)) (* 2 (/ (* a c) (pow b_2 2))))
(+ (log (pow b_2 4)) (* a (+ (* 1/2 (* a (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4)))))) (* 2 (/ c (pow b_2 2))))))
(+ (log (pow b_2 4)) (* a (+ (* 2 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -12 (/ (pow c 3) (pow b_2 6))) (* 16 (/ (pow c 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4))))))))))
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))))))))
(* (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 (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(sqrt (* a c))
(* 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)))
(* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))
(+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))) (* 1/2 (/ (pow b_2 2) (* a c)))))
(+ (* 1/24 (/ (+ (* -12 (/ (pow b_2 6) (pow c 3))) (* 16 (/ (pow b_2 6) (pow c 3)))) (pow a 3))) (+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))) (* 1/2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow c 2)) (* -2 (log (/ 1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow c 3))) (* 16 (/ (pow b_2 6) (pow c 3)))) (pow a 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c)))))))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* -1 (* (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 (* (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 (* 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)))))
(* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))
(+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 2) c)) (* -1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) a))) a)) (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -16 (/ (pow b_2 6) (pow c 3))) (* 12 (/ (pow b_2 6) (pow c 3)))) a)) (* 1/8 (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))))) a)) (* -1/2 (/ (pow b_2 2) c))) a)) (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))
(+ (log (pow c 2)) (* -2 (log (/ -1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) a))) a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow c 3))) (* 12 (/ (pow b_2 6) (pow c 3)))) a)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 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)))))))
(+ (* 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)))
(/ -1/2 b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(/ c b_2)
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (sqrt (* 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)))
(* -1 b_2)
(* 1/4 (log (* (pow a 2) (pow c 2))))
(+ (* 1/4 (log (* (pow a 2) (pow c 2)))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* 1/4 (log (* (pow a 2) (pow c 2)))) (* (pow b_2 2) (+ (* -1/4 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (* 1/2 (/ 1 (* a c))))))
(+ (* 1/4 (log (* (pow a 2) (pow c 2)))) (* (pow b_2 2) (+ (* (pow b_2 2) (- (* 1/6 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (* 1/4 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/2 (/ 1 (* a c))))))
(log (* (pow a 2) (pow c 2)))
(+ (log (* (pow a 2) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (* 2 (/ 1 (* a c))))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* (pow b_2 2) (- (* 2/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (* 2 (/ 1 (* a c))))))
(+ (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))))))))
(+ (log -1) (* -1 (log b_2)))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/8 (/ (* 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)
(/ (+ (* -1/2 (* 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)
(/ (+ (* -1/8 (/ (* (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 (log (/ 1 b_2)))
(+ (* -1 (log (/ 1 b_2))) (* 1/2 (/ (* a c) (pow b_2 2))))
(+ (* -1 (log (/ 1 b_2))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))
(+ (* -1 (log (/ 1 b_2))) (+ (* 1/2880 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -4 (log (/ 1 b_2)))
(+ (* -4 (log (/ 1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 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)))))))
(+ (log -1) (log (/ 1 b_2)))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -2 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 (+ 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 (log (/ -1 b_2)))
(+ (* -1 (log (/ -1 b_2))) (* 1/2 (/ (* a c) (pow b_2 2))))
(+ (* -1 (log (/ -1 b_2))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))
(+ (* -1 (log (/ -1 b_2))) (+ (* 1/2880 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -4 (log (/ -1 b_2)))
(+ (* -4 (log (/ -1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 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))))))))
(log (/ -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))))
(* 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 (/ (* (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)))))))))
(+ (* 1/4 (log (pow b_2 4))) (* c (+ (* 1/8 (* c (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4)))))) (* 1/2 (/ a (pow b_2 2))))))
(+ (* 1/4 (log (pow b_2 4))) (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* 1/24 (* c (+ (* -12 (/ (pow a 3) (pow b_2 6))) (* 16 (/ (pow a 3) (pow b_2 6)))))) (* 1/8 (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4))))))))))
(+ (log (pow b_2 4)) (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4)))))) (* 2 (/ a (pow b_2 2))))))
(+ (log (pow b_2 4)) (* c (+ (* 2 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -12 (/ (pow a 3) (pow b_2 6))) (* 16 (/ (pow a 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4))))))))))
(+ 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 (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* -1 (/ 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 (+ (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)))
(* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))
(+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))) (* 1/2 (/ (pow b_2 2) (* a c)))))
(+ (* 1/24 (/ (+ (* -12 (/ (pow b_2 6) (pow a 3))) (* 16 (/ (pow b_2 6) (pow a 3)))) (pow c 3))) (+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))) (* 1/2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow a 2)) (* -2 (log (/ 1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow a 3))) (* 16 (/ (pow b_2 6) (pow a 3)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a 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)))))))
(* -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 (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (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 (/ 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)))))
(* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))
(+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 2) a)) (* -1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c)) (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/8 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c)) (* -1/2 (/ (pow b_2 2) a))) c)) (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(+ (log (pow a 2)) (* -2 (log (/ -1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c))) c))))
(* -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)))))))

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ 1 (/ (/ b_2 a) (* -1/2 c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (/ b_2 a) (* -1/2 c)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (log (/ -1 b_2)))
48.0ms	b_2	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ 1 (/ (/ b_2 a) (* -1/2 c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (/ b_2 a) (* -1/2 c)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (log (/ -1 b_2)))
33.0ms	b_2	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ 1 (/ (/ b_2 a) (* -1/2 c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (/ b_2 a) (* -1/2 c)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (log (/ -1 b_2)))
28.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ 1 (/ (/ b_2 a) (* -1/2 c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (/ b_2 a) (* -1/2 c)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (log (/ -1 b_2)))
23.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ 1 (/ (/ b_2 a) (* -1/2 c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (/ b_2 a) (* -1/2 c)) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (neg b_2) (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (log (/ -1 b_2)))

simplify202.0ms (2.6%)

Memory

19.9MiB live, 220.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1048	6243
1	3294	6070
0	8653	5747

Stop Event

1×	iter limit
1×	node limit

Counts

223 → 222

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(/ (* a c) b_2)
(* -2 (/ b_2 (* a c)))
(* 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)))))))))
(* 1/4 (log (pow b_2 4)))
(+ (* 1/4 (log (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))
(+ (* 1/4 (log (pow b_2 4))) (* a (+ (* 1/8 (* a (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4)))))) (* 1/2 (/ c (pow b_2 2))))))
(+ (* 1/4 (log (pow b_2 4))) (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* 1/24 (* a (+ (* -12 (/ (pow c 3) (pow b_2 6))) (* 16 (/ (pow c 3) (pow b_2 6)))))) (* 1/8 (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4))))))))))
(log (pow b_2 4))
(+ (log (pow b_2 4)) (* 2 (/ (* a c) (pow b_2 2))))
(+ (log (pow b_2 4)) (* a (+ (* 1/2 (* a (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4)))))) (* 2 (/ c (pow b_2 2))))))
(+ (log (pow b_2 4)) (* a (+ (* 2 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -12 (/ (pow c 3) (pow b_2 6))) (* 16 (/ (pow c 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4))))))))))
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))))))))
(* (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 (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(sqrt (* a c))
(* 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)))
(* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))
(+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))) (* 1/2 (/ (pow b_2 2) (* a c)))))
(+ (* 1/24 (/ (+ (* -12 (/ (pow b_2 6) (pow c 3))) (* 16 (/ (pow b_2 6) (pow c 3)))) (pow a 3))) (+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))) (* 1/2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow c 2)) (* -2 (log (/ 1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow c 2)) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow c 3))) (* 16 (/ (pow b_2 6) (pow c 3)))) (pow a 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) (pow a 2))) (* 2 (/ (pow b_2 2) (* a c)))))))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* -1 (* (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 (* (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 (* 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)))))
(* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))
(+ (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 2) c)) (* -1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) a))) a)) (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -16 (/ (pow b_2 6) (pow c 3))) (* 12 (/ (pow b_2 6) (pow c 3)))) a)) (* 1/8 (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))))) a)) (* -1/2 (/ (pow b_2 2) c))) a)) (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))
(+ (log (pow c 2)) (* -2 (log (/ -1 a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 2)))) a))) a))))
(+ (log (pow c 2)) (+ (* -2 (log (/ -1 a))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) c)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow c 3))) (* 12 (/ (pow b_2 6) (pow c 3)))) a)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow c 2))) (* 2 (/ (pow b_2 4) (pow c 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)))))))
(+ (* 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)))
(/ -1/2 b_2)
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(/ c b_2)
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (sqrt (* 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)))
(* -1 b_2)
(* 1/4 (log (* (pow a 2) (pow c 2))))
(+ (* 1/4 (log (* (pow a 2) (pow c 2)))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* 1/4 (log (* (pow a 2) (pow c 2)))) (* (pow b_2 2) (+ (* -1/4 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (* 1/2 (/ 1 (* a c))))))
(+ (* 1/4 (log (* (pow a 2) (pow c 2)))) (* (pow b_2 2) (+ (* (pow b_2 2) (- (* 1/6 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (* 1/4 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/2 (/ 1 (* a c))))))
(log (* (pow a 2) (pow c 2)))
(+ (log (* (pow a 2) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (* 2 (/ 1 (* a c))))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* (pow b_2 2) (- (* 2/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (* 2 (/ 1 (* a c))))))
(+ (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))))))))
(+ (log -1) (* -1 (log b_2)))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/8 (/ (* 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)
(/ (+ (* -1/2 (* 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)
(/ (+ (* -1/8 (/ (* (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 (log (/ 1 b_2)))
(+ (* -1 (log (/ 1 b_2))) (* 1/2 (/ (* a c) (pow b_2 2))))
(+ (* -1 (log (/ 1 b_2))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))
(+ (* -1 (log (/ 1 b_2))) (+ (* 1/2880 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -4 (log (/ 1 b_2)))
(+ (* -4 (log (/ 1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ 1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 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)))))))
(+ (log -1) (log (/ 1 b_2)))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* -2 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 (+ 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 (log (/ -1 b_2)))
(+ (* -1 (log (/ -1 b_2))) (* 1/2 (/ (* a c) (pow b_2 2))))
(+ (* -1 (log (/ -1 b_2))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))
(+ (* -1 (log (/ -1 b_2))) (+ (* 1/2880 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/96 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -4 (log (/ -1 b_2)))
(+ (* -4 (log (/ -1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 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))))))))
(log (/ -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))))
(* 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 (/ (* (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)))))))))
(+ (* 1/4 (log (pow b_2 4))) (* c (+ (* 1/8 (* c (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4)))))) (* 1/2 (/ a (pow b_2 2))))))
(+ (* 1/4 (log (pow b_2 4))) (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* 1/24 (* c (+ (* -12 (/ (pow a 3) (pow b_2 6))) (* 16 (/ (pow a 3) (pow b_2 6)))))) (* 1/8 (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4))))))))))
(+ (log (pow b_2 4)) (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4)))))) (* 2 (/ a (pow b_2 2))))))
(+ (log (pow b_2 4)) (* c (+ (* 2 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -12 (/ (pow a 3) (pow b_2 6))) (* 16 (/ (pow a 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4))))))))))
(+ 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 (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* c (+ (* -1 (/ 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 (+ (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)))
(* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))
(+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))) (* 1/2 (/ (pow b_2 2) (* a c)))))
(+ (* 1/24 (/ (+ (* -12 (/ (pow b_2 6) (pow a 3))) (* 16 (/ (pow b_2 6) (pow a 3)))) (pow c 3))) (+ (* 1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))) (* 1/2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow a 2)) (* -2 (log (/ 1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow a 3))) (* 16 (/ (pow b_2 6) (pow a 3)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a 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)))))))
(* -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 (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (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 (/ 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)))))
(* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))
(+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 2) a)) (* -1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c)) (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/8 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c)) (* -1/2 (/ (pow b_2 2) a))) c)) (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(+ (log (pow a 2)) (* -2 (log (/ -1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c))) c))))
(* -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)))))))

Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (.f64 c 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 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(fma.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(* -1/2 (/ (* a c) b_2))
(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (.f64 c 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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(.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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (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 a #s(literal 3 binary64))) (pow.f64 c #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 a #s(literal 5 binary64))) (pow.f64 c #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 c #s(literal 3 binary64)) a))))) (sqrt.f64 (/.f64 a c)))) c)
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 (.f64 c a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) (/.f64 b_2 a)) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 b_2 (.f64 c a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c)) (/.f64 b_2 a)) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (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))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 #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) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 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)))))
(.f64 (neg.f64 c) (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))))
(* -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 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b_2) (neg.f64 c))))
(* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))
(.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (.f64 a a))) #s(literal 1/4 binary64))
(+ (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))) (* 1/2 (/ (pow b_2 2) (* a c))))
(fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (.f64 a a))) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 (*.f64 b_2 b_2) a)))
(+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 2) a)) (* -1/8 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c)) (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(-.f64 (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (.f64 a a))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a a)) #s(literal -2 binary64)) c) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -1/2 binary64))) c))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/8 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c)) (* -1/2 (/ (pow b_2 2) a))) c)) (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (.f64 a a))) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a a))) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -4 binary64)) c) #s(literal -1/24 binary64))) (neg.f64 c))) (neg.f64 c)))
(+ (log (pow a 2)) (* -2 (log (/ -1 c))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (*.f64 a a)))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) c) (/.f64 (.f64 b_2 b_2) a) (log.f64 (.f64 a a))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (.f64 a a))) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a a)) #s(literal -2 binary64)) c) #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) c))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c))) c))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (.f64 a a))) (/.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a a))) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -4 binary64)) c) #s(literal -1/6 binary64))) (neg.f64 c))) c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64))))))

rewrite197.0ms (2.5%)

Memory

6.9MiB live, 163.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	281
0	70	273
1	244	263
2	1530	262
0	8552	256

Stop Event

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

Counts

21 → 593

Calls

Call 1

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

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

eval93.0ms (1.2%)

Memory: -15.5MiB live, 139.5MiB allocated
Compiler: Compiled 25 721 to 3 236 computations (87.4% saved)

prune50.0ms (0.6%)

Memory

15.2MiB live, 53.4MiB allocated

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	723	10	733
Fresh	2	15	17
Picked	2	3	5
Done	0	4	4
Total	727	32	759

Accuracy

96.1%

Counts

759 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))) b_2) a)
	30.2%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
	15.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
	24.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
✓	50.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	31.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	16.1%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 c)) #s(literal -2 binary64) (log.f64 (*.f64 a a)))) #s(literal 1/4 binary64)))) a)
▶	11.5%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64)))) a)
	12.1%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (log.f64 (*.f64 a a)))) #s(literal 1/4 binary64)))) a)
	15.6%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64)))) a)
	30.0%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (neg.f64 b_2)) (.f64 (log.f64 (neg.f64 b_2)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
	20.8%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (log.f64 (.f64 (.f64 (*.f64 c c) a) a))) #s(literal 1/4 binary64)))) a)
	30.2%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 #s(approx (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)))))) a)
	29.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b_2)) a)
	32.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 a (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))) a)
	29.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b_2 a) c))) a)
✓	29.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
✓	33.3%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
✓	33.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	15.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -2 binary64))) #s(literal -1 binary64)))) a)
	14.4%	(/.f64 #s(approx (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64))) a)
	33.2%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	33.2%	(.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) a))
▶	14.6%	(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)))
▶	38.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c))))
▶	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	16.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
✓	38.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.7%	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
✓	14.4%	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 1 390 to 1 050 computations (24.5% saved)

simplify117.0ms (1.5%)

Memory

5.5MiB live, 87.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64)))) a)
cost-diff	128	(fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))
cost-diff	128	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64))))
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	192	(.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	12928	(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	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
cost-diff	0	(/.f64 b_2 c)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
cost-diff	0	(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)
cost-diff	0	#s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	485
0	91	483
1	144	471
2	256	462
3	476	462
4	768	460
5	1112	460
6	1669	460
7	2620	460
8	5777	460
0	8014	449

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

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

localize219.0ms (2.8%)

Memory

-2.2MiB live, 318.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.2326696917739164	(exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64)))
accuracy	4.289601195219047	(+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64))))
accuracy	11.416664371661309	(log.f64 (*.f64 c c))
accuracy	14.234315836508873	#s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 a)) #s(literal -2 binary64) (log.f64 (*.f64 c c))))
accuracy	1.2302748461422648	(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
accuracy	1.7752702557656188	(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	3.6319929192760494	(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
accuracy	14.368481589073536	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	1.2301273451883803	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	4.289601195219047	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	10.733184573309954	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	14.58923690120571	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0	(/.f64 b_2 c)
accuracy	0.3252027711348787	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
accuracy	16.979770214686663	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
accuracy	0.2395143274017874	(/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2)
accuracy	0.4760264421971023	(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)
accuracy	3.000860440561597	(*.f64 a (/.f64 c b_2))
accuracy	17.09967614080867	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))

Samples

55.0ms	142×	0	invalid
54.0ms	12×	1	valid
25.0ms	70×	0	valid
21.0ms	16×	1	invalid
11.0ms	11×	2	valid
5.0ms	3×	3	valid
2.0ms	2×	2	invalid

Compiler

Compiled 822 to 115 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-div: 63.0ms (42.8% of total)

ival-mult: 33.0ms (22.4% of total)

ival-log: 14.0ms (9.5% of total)

ival-add: 12.0ms (8.1% of total)

ival-exp: 9.0ms (6.1% of total)

adjust: 4.0ms (2.7% of total)

ival-neg: 4.0ms (2.7% of total)

ival-pow2: 3.0ms (2% of total)

ival-sub: 2.0ms (1.4% of total)

ival-sqrt: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series420.0ms (5.4%)

Memory

5.5MiB live, 430.8MiB allocated

Counts

24 → 339

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
96.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (* (+ (* (/ -1/8 b_2) (* a (/ c b_2))) -1/2) c) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (+ (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))) (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))))) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (+ (* (neg (log a)) -2) (log (* c c))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* a (/ c b_2)) (- (* b_2 b_2) (* a c)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (log (* c c)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)))
86.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (* (+ (* (/ -1/8 b_2) (* a (/ c b_2))) -1/2) c) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (+ (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))) (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))))) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (+ (* (neg (log a)) -2) (log (* c c))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* a (/ c b_2)) (- (* b_2 b_2) (* a c)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (log (* c c)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)))
67.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (* (+ (* (/ -1/8 b_2) (* a (/ c b_2))) -1/2) c) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (+ (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))) (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))))) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (+ (* (neg (log a)) -2) (log (* c c))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* a (/ c b_2)) (- (* b_2 b_2) (* a c)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (log (* c c)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)))
37.0ms	a	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (* (+ (* (/ -1/8 b_2) (* a (/ c b_2))) -1/2) c) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (+ (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))) (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))))) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (+ (* (neg (log a)) -2) (log (* c c))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* a (/ c b_2)) (- (* b_2 b_2) (* a c)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (log (* c c)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)))
36.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (* (+ (* (/ -1/8 b_2) (* a (/ c b_2))) -1/2) c) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (+ (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))) (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))))) (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (+ (* (neg (log a)) -2) (log (* c c))) (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (* a (/ c b_2)) (- (* b_2 b_2) (* a c)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (log (pow (+ (* c a) (* b_2 b_2)) 2)) (log (* c c)) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)))

simplify287.0ms (3.7%)

Memory

-14.5MiB live, 235.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1757	11884
1	5784	11393
0	8105	10911

Stop Event

1×	iter limit
1×	node limit

Counts

339 → 338

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 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)))))))))
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))))))))
(* -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 (+ (* -1/8 (/ (* 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)))))))))
(+ (log (pow c 2)) (* 2 (log 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))))))))
(/ (* a c) b_2)
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(log (pow b_2 4))
(+ (log (pow b_2 4)) (* 2 (/ (* a c) (pow b_2 2))))
(+ (log (pow b_2 4)) (* a (+ (* 1/2 (* a (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4)))))) (* 2 (/ c (pow b_2 2))))))
(+ (log (pow b_2 4)) (* a (+ (* 2 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -12 (/ (pow c 3) (pow b_2 6))) (* 16 (/ (pow c 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow c 2) (pow b_2 4))) (* 2 (/ (pow c 2) (pow b_2 4))))))))))
(+ 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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (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)))
(* 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 (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)))))
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(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* (sqrt (/ a c)) (sqrt -1)))
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(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
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(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
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(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
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(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
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(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
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(* -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)))))))
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(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ b_2 c)
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(* -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)))))))
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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))))
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(+ (sqrt (* a c)) (* -1 b_2))
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(+ (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)))
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(- (pow b_2 2) (* a c))
(log (* (pow a 2) (pow c 2)))
(+ (log (* (pow a 2) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))
(+ (log (* (pow a 2) (pow c 2))) (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (* 2 (/ 1 (* a c))))))
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(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
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(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -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))))
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(+ (* -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))))
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(* 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)))))))
(/ (+ (* -1/8 (/ (* (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)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* -4 (log (/ 1 b_2)))
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(+ (* -4 (log (/ 1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 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)))))))
(* -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 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) 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))))))))
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2))))
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(+ (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))
(* -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)))))))
(* -4 (log (/ -1 b_2)))
(+ (* -4 (log (/ -1 b_2))) (* 2 (/ (* a c) (pow b_2 2))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 2 (/ (* a c) (pow b_2 2)))))
(+ (* -4 (log (/ -1 b_2))) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (* 1920 (* (pow a 3) (pow c 3)))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -48 (* (pow a 2) (pow c 2))) (* 24 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 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 (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* -1 (+ (log (* -2 b_2)) (* -1 (log c))))
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(+ (* -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)))))))))))
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(+ (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 (+ (* -1/8 (/ (* (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)))))))))
(+ (* 2 (log a)) (* 2 (log c)))
(* 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))))
(+ (log (pow b_2 4)) (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4)))))) (* 2 (/ a (pow b_2 2))))))
(+ (log (pow b_2 4)) (* c (+ (* 2 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -12 (/ (pow a 3) (pow b_2 6))) (* 16 (/ (pow a 3) (pow b_2 6)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b_2 4))) (* 2 (/ (pow a 2) (pow b_2 4))))))))))
(* 2 (log c))
(+ 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))))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* c (+ (* 1/2 (* (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))))))
(* -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)))))
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(+ (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 (+ (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)))
(+ (* -2 (log (/ 1 c))) (* 2 (log a)))
(* 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 (- (/ (pow b_2 2) c) a))
(+ (log (pow a 2)) (* -2 (log (/ 1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c))))))
(+ (log (pow a 2)) (+ (* -2 (log (/ 1 c))) (+ (* 1/6 (/ (+ (* -12 (/ (pow b_2 6) (pow a 3))) (* 16 (/ (pow b_2 6) (pow a 3)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) (pow c 2))) (* 2 (/ (pow b_2 2) (* a c)))))))
(* -2 (log (/ 1 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)))))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (+ (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)) (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)))))
(+ (* -2 (log (/ -1 c))) (* 2 (log a)))
(* -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 (/ (pow b_2 2) c)) (* -1 a))))
(+ (log (pow a 2)) (* -2 (log (/ -1 c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* 2 (/ (pow b_2 2) (* a c)))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 (/ (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))) c))) c))))
(+ (log (pow a 2)) (+ (* -2 (log (/ -1 c))) (* -1 (/ (+ (* -2 (/ (pow b_2 2) a)) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (/ (pow b_2 6) (pow a 3))) (* 12 (/ (pow b_2 6) (pow a 3)))) c)) (* 1/2 (+ (* -4 (/ (pow b_2 4) (pow a 2))) (* 2 (/ (pow b_2 4) (pow a 2)))))) c))) c))))
(* -2 (log (/ -1 c)))
(* -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)))))))

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

rewrite360.0ms (4.6%)

Memory

1.7MiB live, 226.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	408
0	91	406
1	313	392
2	2146	391
0	8352	379

Stop Event

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

Counts

24 → 488

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) b_2))
(.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) #s(literal -1 binary64)))
(.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)))
(.f64 (neg.f64 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) b_2))
(.f64 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 b_2 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) #s(literal -1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) #s(literal -1 binary64)) b_2)
(/.f64 (.f64 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) (neg.f64 b_2))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)))))
(/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) b_2)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))) b_2))
(neg.f64 (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) (neg.f64 b_2)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)) (neg.f64 b_2)))
(exp.f64 (.f64 (log.f64 (/.f64 b_2 #s(approx (+ ( (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64)))
#s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c))
(.f64 (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)) c)
(.f64 c (fma.f64 (.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c) (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 c c)) (.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c) (*.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (+.f64 (pow.f64 (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64))) (fma.f64 (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64)))) (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 c c)) (.f64 (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64)))) (*.f64 #s(literal -1/2 binary64) c)))))
(/.f64 (fma.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 c c) (-.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c) (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c)) (.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c)))))
(/.f64 (fma.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 c c) (-.f64 (.f64 (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64)))) (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))))) (.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal -1/4 binary64)) c)) (neg.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64)) c)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) b_2) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 c (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 c (fma.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) b_2) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal -1/4 binary64)) c) (fma.f64 (*.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64)) c) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) b_2) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(/.f64 (.f64 c (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (/.f64 c b_2) a) (/.f64 #s(literal -1/8 binary64) b_2) #s(literal 1/2 binary64)))
(/.f64 (.f64 c (fma.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 c b_2) a) b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) b_2) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c (.f64 #s(literal -1/2 binary64) c))
(fma.f64 #s(literal -1/2 binary64) c (.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64))) c))
(fma.f64 #s(literal -1/2 binary64) c (.f64 c (.f64 (/.f64 (/.f64 c b_2) b_2) (/.f64 a #s(literal -8 binary64)))))
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(-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) #s(literal 0 binary64)) a) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (.f64 (log.f64 a) #s(literal 2 binary64))))))) a) (/.f64 (/.f64 (sqrt.f64 (exp.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (.f64 (log.f64 a) #s(literal 2 binary64)))))) (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))))) a))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) a) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) b_2) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 b_2 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))))) a))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) b_2))) #s(literal -1 binary64)))
(*.f64 (/.f64 a (pow.f64 (neg.f64 c) #s(literal -1 binary64))) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 a (pow.f64 c #s(literal -1 binary64))) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) (/.f64 a (neg.f64 b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -1 binary64))) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c #s(literal -1 binary64)) b_2) (/.f64 a #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 b_2 c)))
(*.f64 (/.f64 a (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 c) #s(literal -1 binary64))))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)) (/.f64 a (pow.f64 (neg.f64 c) #s(literal -1 binary64))))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b_2))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c b_2))
(*.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -1 binary64))))
(*.f64 (/.f64 a b_2) (/.f64 c #s(literal 1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 a (pow.f64 c #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 c b_2) a))
(*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (neg.f64 b_2) c)))
(*.f64 (/.f64 c b_2) (/.f64 a #s(literal 1 binary64)))
(*.f64 (/.f64 c b_2) a)
(.f64 (.f64 c a) (pow.f64 b_2 #s(literal -1 binary64)))
(.f64 c (.f64 (pow.f64 b_2 #s(literal -1 binary64)) a))
(*.f64 c (/.f64 a b_2))
(*.f64 a (/.f64 c b_2))
(pow.f64 (/.f64 b_2 (*.f64 c a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (/.f64 (neg.f64 b_2) c))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 b_2) c))
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 b_2 c))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 b_2 c))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 c a))))
(/.f64 (*.f64 (neg.f64 a) c) (neg.f64 b_2))
(/.f64 (neg.f64 a) (/.f64 (neg.f64 b_2) c))
(/.f64 (*.f64 c a) b_2)
(/.f64 a (/.f64 b_2 c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 (*.f64 c a) (neg.f64 b_2)))
(.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 1 binary64))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) 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))))
#s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(log.f64 (exp.f64 #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))))
(*.f64 (log.f64 c) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 c))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 c) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 c c))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 c) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 c) (log.f64 c) (-.f64 (pow.f64 (log.f64 c) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 c) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64))) (log.f64 (/.f64 c c)))
(/.f64 (+.f64 (pow.f64 (log.f64 c) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64))) (fma.f64 (log.f64 c) (log.f64 c) (-.f64 (pow.f64 (log.f64 c) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 c) #s(literal 2 binary64)) (log.f64 (/.f64 c c))) (/.f64 (pow.f64 (log.f64 c) #s(literal 2 binary64)) (log.f64 (/.f64 c c))))
(+.f64 (log.f64 c) (log.f64 c))
(log.f64 (*.f64 c c))
(.f64 (pow.f64 (exp.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (.f64 (log.f64 a) #s(literal 2 binary64))))) #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))))

eval184.0ms (2.4%)

Memory: -23.3MiB live, 234.8MiB allocated
Compiler: Compiled 35 625 to 4 215 computations (88.2% saved)

prune59.0ms (0.8%)

Memory

1.5MiB live, 123.1MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	815	19	834
Fresh	7	13	20
Picked	3	2	5
Done	2	5	7
Total	827	39	866

Accuracy

97.1%

Counts

866 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.9%	(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))
	14.6%	(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)))))
	30.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	30.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	29.1%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(approx (log (pow (+ (* c a) (* b_2 b_2)) 2)) (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))) b_2) a)
	26.1%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	31.3%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	30.2%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
✓	50.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	16.1%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (neg.f64 (log.f64 c)) #s(literal -2 binary64) (log.f64 (*.f64 a a)))) #s(literal 1/4 binary64)))) a)
	15.6%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) #s(literal -2 binary64) (log.f64 (*.f64 c c)))) #s(literal 1/4 binary64)))) a)
	30.0%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (neg.f64 b_2)) (.f64 (log.f64 (neg.f64 b_2)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))) #s(literal -4 binary64))) #s(literal 1/4 binary64)))) a)
	14.3%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) #s(approx (+ (* (neg (log a)) -2) (log (* c c))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))) a)
	11.5%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(approx (log (pow (+ ( c a) (* b_2 b_2)) 2)) #s(approx (+ (* (neg (log a)) -2) (log (* c c))) (fma.f64 (log.f64 a) #s(literal 2 binary64) (log.f64 (*.f64 c c))))) #s(literal 1/4 binary64)))) a)
	30.2%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 #s(approx (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)))))) a)
	33.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4)) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal 1 binary64))))) a)
	32.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 a (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))) a)
	29.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b_2 a) c))) a)
✓	33.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	33.3%	(/.f64 #s(approx (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal 2 binary64)))) a)
	31.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	33.2%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	15.3%	(.f64 (pow.f64 (/.f64 a (+.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) #s(literal -1 binary64)))
	26.0%	(.f64 (/.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))))) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))))
	31.2%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
	33.2%	(.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) a))
	13.5%	(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)))
	19.6%	(exp.f64 (.f64 (log.f64 #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) #s(literal -1 binary64)))
	14.7%	(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)))
	19.6%	(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))))))
	38.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (pow.f64 c #s(literal -1 binary64))))
✓	38.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c))))
✓	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	16.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
✓	38.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.7%	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
✓	14.4%	#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 2 629 to 1 055 computations (59.9% saved)

regimes76.0ms (1%)

Memory

3.3MiB live, 118.2MiB allocated

Counts

58 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

18.0ms	b_2
16.0ms	c
16.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
16.0ms	a

Results

Accuracy	Segments	Branch
50.5%	1	`a`
87.7%	3	`b_2`
55.0%	3	`c`
74.6%	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

10.8MiB live, 10.8MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
86.2%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	b_2
3.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
51.6%	4	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
69.3%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes7.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

2.0ms	c
2.0ms	a
2.0ms	b_2
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
38.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
38.4%	1	`a`
38.4%	1	`c`
38.4%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes10.0ms (0.1%)

Memory

-27.4MiB live, 15.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

6.0ms	c
1.0ms	a
1.0ms	b_2
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
38.3%	1	`a`
38.3%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
38.3%	1	`b_2`
38.3%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.4%	1	`a`
14.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
14.4%	1	`b_2`
14.4%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch33.0ms (0.4%)

Memory

14.2MiB live, 52.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
16.0ms	1.8304167765610954e-21	2.8241257702143064e-20
14.0ms	-1.1671232389213662e+138	-2.949942281135747e+136

Samples

13.0ms	156×	0	valid
4.0ms	23×	2	valid
3.0ms	29×	1	valid
1.0ms	18×	0	invalid

Compiler

Compiled 418 to 347 computations (17% saved)

Precisions

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

ival-mult: 5.0ms (33.8% of total)

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

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

adjust: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

ival-sub: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% of total)

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

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

bsearch9.0ms (0.1%)

Memory

-27.1MiB live, 10.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8304167765610954e-21	2.8241257702143064e-20
8.0ms	-9.355344017496035e-71	-8.151754167804931e-71

Samples

5.0ms	32×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 300 to 238 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (64.4% of total)

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

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

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

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

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

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

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

bsearch51.0ms (0.7%)

Memory

5.0MiB live, 43.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	5.661728507700288e-276	4.468356365566669e-273

Samples

35.0ms	126×	0	valid
6.0ms	92×	0	invalid
0.0ms	2×	1	valid

Compiler

Compiled 304 to 248 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sqrt: 28.0ms (77.8% of total)

ival-mult: 3.0ms (8.3% of total)

ival-div: 2.0ms (5.6% of total)

ival-add: 1.0ms (2.8% of total)

ival-sub: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

simplify86.0ms (1.1%)

Memory

12.9MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	218
1	88	209
2	127	209
3	201	209
4	333	209
5	634	209
6	1633	209
7	3901	209

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -619999999999999987308970303794624221376182389504407259797400176066362180044808793516991253873623704604588170980515667679201462942043209728 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 3588915588619273/1329227995784915872903807060280344576 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 -2859608609356273/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) 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 7110181102717439/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))

Outputs
(if (<=.f64 b_2 #s(literal -619999999999999987308970303794624221376182389504407259797400176066362180044808793516991253873623704604588170980515667679201462942043209728 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 3588915588619273/1329227995784915872903807060280344576 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 -2859608609356273/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) 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 7110181102717439/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (exp (* (log (pow (+ (* c a) (* b_2 b_2)) 2)) 1/4))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))

soundness932.0ms (12%)

Memory

-20.2MiB live, 540.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611
0	43	244
0	69	238
1	230	224
2	1537	221
0	8406	221
0	981	5467
1	3054	5297
0	8676	5023
0	61	408
0	91	406
1	313	392
2	2146	391
0	8352	379
0	10	41
0	17	41
1	64	39
2	463	38
3	5920	38
0	8644	34

Stop Event

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

Compiler

Compiled 329 to 152 computations (53.8% saved)

preprocess54.0ms (0.7%)

Memory: 31.0MiB live, 68.1MiB allocated
Compiler: Compiled 644 to 192 computations (70.2% 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%)

analyze121.0ms (1.6%)

sample1.5s (18.8%)

explain184.0ms (2.4%)

preprocess113.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.3%)

localize52.0ms (0.7%)

series18.0ms (0.2%)

simplify260.0ms (3.3%)

rewrite157.0ms (2%)

eval64.0ms (0.8%)

prune18.0ms (0.2%)

simplify117.0ms (1.5%)

localize207.0ms (2.7%)

series207.0ms (2.7%)

simplify427.0ms (5.5%)

rewrite193.0ms (2.5%)

eval99.0ms (1.3%)

prune34.0ms (0.4%)

simplify137.0ms (1.8%)

localize165.0ms (2.1%)

series255.0ms (3.3%)

simplify202.0ms (2.6%)

rewrite197.0ms (2.5%)

eval93.0ms (1.2%)

prune50.0ms (0.6%)

simplify117.0ms (1.5%)

localize219.0ms (2.8%)

series420.0ms (5.4%)

simplify287.0ms (3.7%)

rewrite360.0ms (4.6%)

eval184.0ms (2.4%)

prune59.0ms (0.8%)

regimes76.0ms (1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch33.0ms (0.4%)

bsearch9.0ms (0.1%)

bsearch51.0ms (0.7%)

simplify86.0ms (1.1%)

soundness932.0ms (12%)

preprocess54.0ms (0.7%)

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