Metrics for quadm (p42, negative)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze234.0ms (1.8%)

Memory

18.3MiB live, 137.5MiB 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
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.1s (15.5%)

Memory

2.8MiB live, 1 944.7MiB allocated

Samples

821.0ms	5 520×	0	valid
299.0ms	1 231×	2	valid
271.0ms	1 320×	1	valid
166.0ms	955×	0	invalid
54.0ms	185×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 442.0ms (35.2% of total)

ival-sub: 256.0ms (20.4% of total)

ival-div: 205.0ms (16.3% of total)

ival-sqrt: 141.0ms (11.2% of total)

adjust: 101.0ms (8% of total)

ival-neg: 90.0ms (7.2% of total)

exact: 10.0ms (0.8% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain251.0ms (1.9%)

Memory

-1.4MiB live, 159.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	1	(-4.792509295656241e-141 -6.030816241202453e-222 4.4563888972311437e-178)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
64	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
11	-	0	-	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
5	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	-	0	-	`a`
0	-	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	105	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	30
↳	`(*.f64 a c)`	overflow	30
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	105
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	64	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	11	0
↳	`(*.f64 b b)`	underflow	33
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	22
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	36
↳	`(*.f64 a c)`	underflow	36
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	5	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	30
↳	`(*.f64 a c)`	overflow	30
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	5	0
↳	`(*.f64 b b)`	underflow	33
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	36
↳	`(*.f64 a c)`	underflow	36
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5

Confusion

	Predicted +	Predicted -
+	125	1
-	21	109

Precision

0.8561643835616438

Recall

0.9920634920634921

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	1
-	21	0	109

Precision?

0.8561643835616438

Recall?

0.9920634920634921

Freqs

test

number	freq
0	110
1	104
2	40
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	346×	0	valid
18.0ms	80×	2	valid
12.0ms	76×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 13.0ms (32.3% of total)

ival-sub: 7.0ms (17.4% of total)

ival-sqrt: 6.0ms (14.9% of total)

ival-div: 5.0ms (12.4% of total)

adjust: 5.0ms (12.4% of total)

ival-neg: 2.0ms (5% of total)

exact: 1.0ms (2.5% of total)

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

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

preprocess217.0ms (1.6%)

Memory

7.8MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 418×	`times-frac`
1 146×	`distribute-rgt-in`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
974×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	189	151
2	590	147
3	1942	144
4	4692	144
5	5896	144
6	6384	144
7	6472	144
8	6511	144
9	6782	144
0	14	17
0	23	17
1	45	17
2	104	17
3	247	16
4	409	16
5	743	16
6	1570	16
7	2082	16
8	2242	16
9	2312	16
10	2322	16
11	2322	16
12	2328	16
0	2328	15

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify103.0ms (0.8%)

Memory

-20.0MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
cost-diff	128	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
cost-diff	128	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Rules

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`
736×	`lower-*.f64`
456×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	45	70
2	104	70
3	247	69
4	409	69
5	743	69
6	1570	69
7	2082	69
8	2242	69
9	2312	69
10	2322	69
11	2322	69
12	2328	69
0	2328	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(.f64 #s(literal 4 binary64) (.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

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

localize47.0ms (0.4%)

Memory

35.5MiB live, 73.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.9960937500000001	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	2.4383109218392307	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
accuracy	14.616879309121693	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	25.860696067451798	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

17.0ms	173×	0	valid
9.0ms	40×	2	valid
6.0ms	38×	1	valid
1.0ms	5×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 6.0ms (30.3% of total)

ival-sub: 4.0ms (20.2% of total)

ival-div: 3.0ms (15.2% of total)

ival-sqrt: 3.0ms (15.2% of total)

adjust: 2.0ms (10.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

-0.7MiB live, 76.1MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))>
#<alt (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))>
#<alt (neg.f64 b)>
#<alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))>

Outputs
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (* (pow b 2) (+ 1 (/ 1 b))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (/ b a)>
#<alt (/ (+ b (* -2 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (/ b a)>
#<alt (+ (* -2 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -4 (* a c))>
#<alt (- b (* 4 (* a c)))>
#<alt (- (* b (+ 1 b)) (* 4 (* a c)))>
#<alt (- (* b (+ 1 b)) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (/ 1 b))))>
#<alt (* (pow b 2) (- (+ 1 (+ (* -2 (/ (* a c) (pow b 3))) (/ 1 b))) (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (* (pow b 2) (+ 1 (/ 1 b))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (+ b (pow b 2))>
#<alt (+ b (+ (* -4 (* a c)) (pow b 2)))>
#<alt (+ b (+ (* -4 (* a c)) (pow b 2)))>
#<alt (+ b (+ (* -4 (* a c)) (pow b 2)))>
#<alt (* -4 (* a c))>
#<alt (* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))>
#<alt (* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))>
#<alt (* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))>
#<alt (+ b (pow b 2))>
#<alt (+ b (+ (* -4 (* a c)) (pow b 2)))>
#<alt (+ b (+ (* -4 (* a c)) (pow b 2)))>
#<alt (+ b (+ (* -4 (* a c)) (pow b 2)))>
#<alt (* -4 (* a c))>
#<alt (* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))>
#<alt (* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))>
#<alt (* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
4.0ms	b	@	0	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
3.0ms	a	@	-inf	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
2.0ms	c	@	0	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
2.0ms	a	@	inf	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

simplify424.0ms (3.2%)

Memory

9.9MiB live, 761.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 160×	`lower-fma.f64`
16 160×	`lower-fma.f32`
5 794×	`lower-*.f64`
5 794×	`lower-*.f32`
3 246×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	2117
1	719	2109
2	2288	1991
3	5672	1960
0	8604	1814

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (pow b 2))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(/ b a)
(/ (+ b (* -2 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(/ b a)
(+ (* -2 (/ c b)) (/ b a))
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))
(* (sqrt (/ c a)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -4 (* a c))
(- b (* 4 (* a c)))
(- (* b (+ 1 b)) (* 4 (* a c)))
(- (* b (+ 1 b)) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (/ 1 b)))
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (/ 1 b))))
(* (pow b 2) (- (+ 1 (+ (* -2 (/ (* a c) (pow b 3))) (/ 1 b))) (* 4 (/ (* a c) (pow b 2)))))
(* -1 (pow b 2))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(+ b (pow b 2))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(* -4 (* a c))
(* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))
(* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))
(* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))
(+ b (pow b 2))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(* -4 (* a c))
(* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))
(* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))
(* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))

Outputs
(* (sqrt (/ c a)) (sqrt -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 b (.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal -4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (.f64 (.f64 b b) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* -1 (pow b 2))
(*.f64 b (neg.f64 b))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(*.f64 b (-.f64 #s(literal -1 binary64) b))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(.f64 b (-.f64 (.f64 b (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal 4 binary64) #s(literal -1 binary64)) b)) b))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(.f64 b (-.f64 (.f64 b (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal 4 binary64) #s(literal -1 binary64)) b)) b))
(/ b a)
(/.f64 b a)
(/ (+ b (* -2 (/ (* a c) b))) a)
(/.f64 (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 c (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 c b)) b) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (.f64 (.f64 c (.f64 c (.f64 c a))) (/.f64 #s(literal -4 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 #s(literal -2 binary64) (fma.f64 c (/.f64 (.f64 c a) (.f64 b (.f64 b b))) (/.f64 c b)))) b) a)
(* (sqrt (/ c a)) (sqrt -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (.f64 b b) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))
(* 2 (* (sqrt (/ c a)) (sqrt -1)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
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(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))

rewrite405.0ms (3%)

Memory

-11.5MiB live, 544.4MiB allocated

Rules

5 318×	`lower-fma.f64`
5 318×	`lower-fma.f32`
4 626×	`lower-*.f32`
4 618×	`lower-*.f64`
3 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	81	51
2	591	48
0	8093	44

Stop Event

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

Counts

5 → 512

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(+.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a (.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 a a))))
(-.f64 (/.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a))))) (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 b (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (.f64 b #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (.f64 b #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (.f64 b #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (.f64 a (.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (-.f64 (.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 (.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 (.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a)))) (-.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 a a))))))
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b
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(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (.f64 b (.f64 b b)) (*.f64 b b))
(/.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(fabs.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))))
(pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 16 binary64))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

eval88.0ms (0.7%)

Memory: 4.2MiB live, 234.1MiB allocated
Compiler: Compiled 24 052 to 1 933 computations (92% saved)

prune192.0ms (1.4%)

Memory

-42.6MiB live, 273.4MiB allocated

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	630	38	668
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	631	38	669

Accuracy

56.9%

Counts

669 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
	18.0%	(/.f64 (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (.f64 b b))) (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	19.0%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	18.2%	(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	17.9%	(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (+.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b b) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (*.f64 #s(literal 2 binary64) a))
	27.3%	(/.f64 (/.f64 (fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 (.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
	23.1%	(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶	26.8%	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 #s(literal 2 binary64) a))
	15.3%	(/.f64 (-.f64 (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a))) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
	19.6%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
	52.4%	(/.f64 (-.f64 (.f64 b #s(literal 2 binary64)) (.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) a))) (.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))
	45.2%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	52.2%	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
	51.8%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 #s(literal 2 binary64) a))
	32.0%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	31.4%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	47.7%	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 #s(literal 2 binary64) a))
	15.5%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	12.6%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	28.7%	(/.f64 (.f64 (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
	19.9%	(/.f64 (.f64 (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	25.1%	(/.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶	2.0%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
	2.3%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
	1.7%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (fma.f64 b b b) c)))) (.f64 #s(literal 2 binary64) a))
	4.9%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
	12.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
	12.2%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
	2.1%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
	31.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	31.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	12.6%	(.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (-.f64 (.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	31.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶	53.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	2.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 c (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
	2.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
	5.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
▶	5.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))

Compiler

Compiled 2 004 to 994 computations (50.4% saved)

simplify273.0ms (2%)

Memory

14.3MiB live, 446.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
cost-diff	0	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff	896	(-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 b b))
cost-diff	1344	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 #s(literal 2 binary64) a))
cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	896	(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
cost-diff	0	(*.f64 a #s(literal -4 binary64))
cost-diff	0	(fma.f64 c (*.f64 a #s(literal -4 binary64)) b)
cost-diff	0	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) b))
cost-diff	0	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(*.f64 b (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

Rules

9 078×	`lower-fma.f32`
9 072×	`lower-fma.f64`
4 474×	`lower-*.f32`
4 460×	`lower-*.f64`
1 670×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	328
0	60	318
1	121	315
2	252	301
3	549	298
4	1714	294
5	6050	294
0	8108	294

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (1.4%)

Memory

6.8MiB live, 324.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.168911774626082	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
accuracy	16.090517830902225	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy	25.860696067451816	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
accuracy	36.82578132012042	(-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 b b))
accuracy	0.109375	(/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
accuracy	1.2499862380278008	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
accuracy	20.381253661545927	(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
accuracy	25.860696067451816	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
accuracy	0	(*.f64 a #s(literal -4 binary64))
accuracy	0	(*.f64 #s(literal 2 binary64) a)
accuracy	2.4383109218392307	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
accuracy	62.813326105631305	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) b))
accuracy	0	(*.f64 b (neg.f64 b))
accuracy	0	(neg.f64 b)
accuracy	60.27285609094538	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
accuracy	1.2499862380278008	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
accuracy	2.514814681607673	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy	14.616879309121693	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
accuracy	25.860696067451816	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))

Samples

67.0ms	79×	2	valid
32.0ms	77×	1	valid
19.0ms	85×	0	valid
11.0ms	15×	3	valid

Compiler

Compiled 329 to 36 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

adjust: 25.0ms (27.1% of total)

ival-mult: 22.0ms (23.8% of total)

ival-div: 15.0ms (16.2% of total)

ival-sqrt: 11.0ms (11.9% of total)

ival-sub: 8.0ms (8.7% of total)

ival-add: 8.0ms (8.7% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series203.0ms (1.5%)

Memory

32.5MiB live, 221.6MiB allocated

Counts

19 → 564

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))>
#<alt (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))>
#<alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))>
#<alt (*.f64 b (neg.f64 b))>
#<alt (neg.f64 b)>
#<alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))>
#<alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) b))>
#<alt (fma.f64 c (*.f64 a #s(literal -4 binary64)) b)>
#<alt (*.f64 a #s(literal -4 binary64))>
#<alt (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))>
#<alt (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))>
#<alt (/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 #s(literal 2 binary64) a))>
#<alt (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 b b))>
#<alt (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))>
#<alt (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) a)>
#<alt (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))>

Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* 2 (/ c b))>
#<alt (* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
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#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
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#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
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#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
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#<alt (* -1 (* (pow b 2) (+ 1 (/ 1 b))))>
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#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (/ b a)>
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#<alt (* (sqrt (/ c a)) (sqrt -4))>
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#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (/ b a)>
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#<alt (* (sqrt (/ c a)) (sqrt -4))>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))>
#<alt (* -1 (pow b 2))>
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#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
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#<alt (* -1 b)>
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#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt (/ b a)>
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#<alt (/ b a)>
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#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (/ b a)>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))>
#<alt (* -4 (* a c))>
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#<alt (pow b 2)>
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#<alt b>
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#<alt b>
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#<alt b>
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#<alt b>
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#<alt (* -4 a)>
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#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/2 (/ (* a c) b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))>
#<alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (pow (sqrt -4) 2))) a)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)>
#<alt (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))>
#<alt (* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>

Calls

141 calls:

Time	Variable		Point	Expression
30.0ms	c	@	0	(/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))
25.0ms	b	@	0	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
19.0ms	a	@	0	(/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))
6.0ms	c	@	0	(/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4))))))
5.0ms	b	@	-inf	(/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4))))))

simplify449.0ms (3.4%)

Memory

6.3MiB live, 722.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 442×	`lower-fma.f64`
7 442×	`lower-fma.f32`
7 312×	`lower-*.f64`
7 312×	`lower-*.f32`
5 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1207	11343
1	3981	11101
0	8341	10615

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 557

Calls

Call 1

Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* 2 (/ c b))
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (pow b 2))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(/ b a)
(/ (+ b (* -2 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(/ b a)
(+ (* -2 (/ c b)) (/ b a))
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))
(* (sqrt (/ c a)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (pow b 2))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(/ b a)
(/ (+ b (* -2 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(/ b a)
(+ (* -2 (/ c b)) (/ b a))
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))
(* (sqrt (/ c a)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
(* -4 (* a c))
(- b (* 4 (* a c)))
(- (* b (+ 1 b)) (* 4 (* a c)))
(- (* b (+ 1 b)) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (/ 1 b)))
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (/ 1 b))))
(* (pow b 2) (- (+ 1 (+ (* -2 (/ (* a c) (pow b 3))) (/ 1 b))) (* 4 (/ (* a c) (pow b 2)))))
(* -1 (pow b 2))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(+ b (pow b 2))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(* -4 (* a c))
(* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))
(* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))
(* a (- (+ (/ b a) (/ (pow b 2) a)) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (+ b (pow b 2)) a)) (* -4 c))))
(+ b (pow b 2))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(+ b (+ (* -4 (* a c)) (pow b 2)))
(* -4 (* a c))
(* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))
(* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))
(* c (- (+ (/ b c) (/ (pow b 2) c)) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (+ b (pow b 2)) c)) (* -4 a))))
b
(+ b (* -4 (* a c)))
(+ b (* -4 (* a c)))
(+ b (* -4 (* a c)))
(* -4 (* a c))
(* c (+ (* -4 a) (/ b c)))
(* c (+ (* -4 a) (/ b c)))
(* c (+ (* -4 a) (/ b c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 a))))
b
(+ b (* -4 (* a c)))
(+ b (* -4 (* a c)))
(+ b (* -4 (* a c)))
(* -4 (* a c))
(* a (+ (* -4 c) (/ b a)))
(* a (+ (* -4 c) (/ b a)))
(* a (+ (* -4 c) (/ b a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ b a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ b a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ b a)) (* 4 c))))
(* -4 (* a c))
(+ b (* -4 (* a c)))
(+ b (* -4 (* a c)))
(+ b (* -4 (* a c)))
b
(* b (+ 1 (* -4 (/ (* a c) b))))
(* b (+ 1 (* -4 (/ (* a c) b))))
(* b (+ 1 (* -4 (/ (* a c) b))))
b
(* -1 (* b (- (* 4 (/ (* a c) b)) 1)))
(* -1 (* b (- (* 4 (/ (* a c) b)) 1)))
(* -1 (* b (- (* 4 (/ (* a c) b)) 1)))
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* -1/2 (/ b a))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2)))))
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(* 1/2 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (* 1/2 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 1/2 (/ 1 a))) (+ (* -1/2 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 1/2 (/ b a))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(+ (* 1/2 (/ b a)) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(* -1 (* (sqrt (/ a c)) (sqrt -4)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (/ b c))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c))))
(* -2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b c)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c))) c)))
(* 1/2 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b))))) a)
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b))))) a)
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (pow (sqrt -4) 2))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (pow (sqrt -4) 2)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (pow (sqrt -4) 2)))))
(* 1/2 b)
(* b (+ 1/2 (* -1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) (* 1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6)))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -2 (/ (* a c) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* 1/2 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b)))))
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c)
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* 1/2 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (pow (sqrt -4) 2))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))

Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) b) (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 c (.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))))
(* 2 (/ c b))
(/.f64 (*.f64 #s(literal 2 binary64) c) b)
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (*.f64 b b)) c)) (neg.f64 b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (*.f64 b b)) c))) (neg.f64 b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (.f64 a (pow.f64 b #s(literal 6 binary64))))))) (neg.f64 b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 c (fma.f64 a (/.f64 c (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 a)))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 c (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (.f64 a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (.f64 a c))) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (*.f64 a a)))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (.f64 a c))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (-.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (*.f64 a a))))))) (neg.f64 c))) c))) (neg.f64 c))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a c)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) b)
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a c))))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a c))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))))
(* 2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (*.f64 b b)))) b)
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b b))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b b))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 b #s(literal 2 binary64) (.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (.f64 (.f64 a (.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
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(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a c)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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b
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(* (sqrt (* a c)) (sqrt -4))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b (neg.f64 c))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) b) c)) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 b (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64))) c)) c))))
(* 2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) (/.f64 (.f64 #s(literal 2 binary64) c) b)))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (.f64 #s(literal 4 binary64) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a c))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (-.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(.f64 a (-.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/8 binary64) (/.f64 b a)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (/.f64 b (neg.f64 a)) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) b) (neg.f64 a)) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (.f64 a (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) (neg.f64 a)) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))))

rewrite412.0ms (3.1%)

Memory

-16.7MiB live, 688.7MiB allocated

Rules

5 050×	`lower-*.f32`
5 036×	`lower-*.f64`
4 554×	`lower-/.f32`
4 544×	`lower-/.f64`
4 124×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	236
0	60	233
1	243	229
2	2219	229
0	8667	229

Stop Event

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

Counts

19 → 1 378

Calls

Call 1

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

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

eval373.0ms (2.8%)

Memory: 16.0MiB live, 597.7MiB allocated
Compiler: Compiled 79 923 to 4 876 computations (93.9% saved)

prune295.0ms (2.2%)

Memory

0.6MiB live, 452.1MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	2 449	17	2 466
Fresh	23	10	33
Picked	3	2	5
Done	0	0	0
Total	2 475	29	2 504

Accuracy

91.2%

Counts

2 504 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.3%	(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1/2 binary64)) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a))
	27.3%	(/.f64 (/.f64 (fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 (.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
	5.7%	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b #s(approx (sqrt (+ ( b b) (* c (* a -4)))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
	41.5%	(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	32.0%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	15.5%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	25.1%	(/.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	28.1%	(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	12.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
▶	12.2%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
▶	31.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	31.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
✓	53.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	40.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))))
	31.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
▶	47.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	36.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
▶	2.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
	2.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a))
	27.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
	35.2%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	2.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
	5.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
▶	5.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
✓	5.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
	35.2%	#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
	36.7%	#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
	36.8%	#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
	10.5%	#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))

Compiler

Compiled 914 to 577 computations (36.9% saved)

simplify267.0ms (2%)

Memory

20.5MiB live, 415.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
cost-diff	0	(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
cost-diff	0	(/.f64 b a)
cost-diff	0	(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
cost-diff	0	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(*.f64 b (neg.f64 b))
cost-diff	0	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 b (neg.f64 b)))
cost-diff	0	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
cost-diff	0	(-.f64 #s(literal -1 binary64) b)
cost-diff	0	(*.f64 b (-.f64 #s(literal -1 binary64) b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
cost-diff	0	(+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
cost-diff	12480	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))

Rules

8 474×	`lower-fma.f32`
8 468×	`lower-fma.f64`
4 610×	`lower-*.f32`
4 590×	`lower-*.f64`
1 668×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	306
0	84	309
1	156	298
2	296	287
3	663	284
4	1874	280
5	6102	280
0	8140	280

Stop Event

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

Calls

Call 1

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

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

localize347.0ms (2.6%)

Memory

8.3MiB live, 453.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.249986238027801	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
accuracy	4.143781502274743	(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
accuracy	14.168911774626082	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
accuracy	25.860696067451798	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
accuracy	0	(/.f64 b a)
accuracy	0	(*.f64 #s(literal -1/2 binary64) c)
accuracy	0.00390625	(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
accuracy	62.49982217568411	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
accuracy	0	(*.f64 #s(literal 2 binary64) a)
accuracy	0	(neg.f64 b)
accuracy	2.4383109218392307	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
accuracy	60.98949058454022	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 b (neg.f64 b)))
accuracy	0	(-.f64 #s(literal -1 binary64) b)
accuracy	0.015625	(*.f64 b (-.f64 #s(literal -1 binary64) b))
accuracy	60.23799454146904	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
accuracy	2.514814681607673	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
accuracy	5.449354869587323	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
accuracy	14.616879309121693	(+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
accuracy	26.709760681364465	(log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))

Samples

155.0ms	79×	1	valid
67.0ms	77×	2	valid
31.0ms	85×	0	valid
19.0ms	15×	3	valid

Compiler

Compiled 295 to 47 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-log: 40.0ms (25.1% of total)

ival-mult: 29.0ms (18.2% of total)

ival-div: 29.0ms (18.2% of total)

adjust: 19.0ms (11.9% of total)

ival-exp: 12.0ms (7.5% of total)

ival-sub: 12.0ms (7.5% of total)

ival-add: 9.0ms (5.7% of total)

ival-sqrt: 6.0ms (3.8% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series226.0ms (1.7%)

Memory

-11.2MiB live, 245.6MiB allocated

Counts

23 → 636

Calls

Call 1

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

Outputs
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* 2 (/ c b))>
#<alt (* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (* (pow b 2) (+ 1 (/ 1 b))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (/ b a)>
#<alt (/ (+ b (* -2 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (/ b a)>
#<alt (+ (* -2 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
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#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (/ 1 a))))>
#<alt (* 2 (/ c b))>
#<alt (/ (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))) b)>
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#<alt (/ b a)>
#<alt (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))>
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#<alt (* 2 (/ c b))>
#<alt (* c (+ (* 2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))>
#<alt (* c (+ (* c (+ (* 2 (/ a (pow b 3))) (* 4 (/ (* (pow a 2) c) (pow b 5))))) (* 2 (/ 1 b))))>
#<alt (* c (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 4 (/ (pow a 2) (pow b 5))))))) (* 2 (/ 1 b))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (/ b (* a c))))>
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#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b (* a c))))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (/ b a)) c)))))>
#<alt (* 2 (/ (* a c) b))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
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#<alt (* 2 (/ (* a c) b))>
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#<alt (* 1/2 (/ a b))>
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#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b))>
#<alt (* 2 (/ (* a c) b))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
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#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
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#<alt (* 2 b)>
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#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
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#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 2 (/ (* a c) b))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
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#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
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#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
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#<alt (log (pow b 2))>
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#<alt (+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))>
#<alt (+ (log (* 4 c)) (* -1 (log (/ -1 a))))>
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#<alt (log (pow b 2))>
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#<alt (+ (log (* -4 a)) (* -1 (log (/ 1 c))))>
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#<alt (+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))>
#<alt (+ (log (* 4 a)) (* -1 (log (/ -1 c))))>
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#<alt (+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* (pow a 2) c))) (* 1/4 (/ (pow b 2) a))) c))))>
#<alt (+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow a 2))) (* -1/192 (/ (pow b 6) (* (pow a 3) c)))) c)) (* 1/4 (/ (pow b 2) a))) c))))>
#<alt (log (* -4 (* a c)))>
#<alt (+ (log (* -4 (* a c))) (* -1/4 (/ (pow b 2) (* a c))))>
#<alt (+ (log (* -4 (* a c))) (* (pow b 2) (- (* -1/32 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))))>
#<alt (+ (log (* -4 (* a c))) (* (pow b 2) (- (* (pow b 2) (- (* -1/192 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/32 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))))>
#<alt (* -2 (log (/ 1 b)))>
#<alt (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))>
#<alt (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b)))))>
#<alt (+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))))>
#<alt (* -2 (log (/ -1 b)))>
#<alt (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))>
#<alt (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b)))))>
#<alt (+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>

Calls

159 calls:

Time	Variable		Point	Expression
34.0ms	b	@	inf	(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
32.0ms	c	@	-inf	(log (+ (* a (* -4 c)) (* b b)))
32.0ms	a	@	0	(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
7.0ms	a	@	-inf	(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
4.0ms	a	@	0	(/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))

simplify534.0ms (4%)

Memory

-34.8MiB live, 753.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 160×	`lower-fma.f64`
7 160×	`lower-fma.f32`
7 106×	`lower-*.f64`
7 106×	`lower-*.f32`
4 960×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1264	12204
1	4085	12013
0	8145	11480

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 630

Calls

Call 1

Inputs
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* 2 (/ c b))
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (pow b 2))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))
(/ b a)
(/ (+ b (* -2 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(/ b a)
(+ (* -2 (/ c b)) (/ b a))
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))
(* (sqrt (/ c a)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
(* -1 b)
(* b (- (* -1 b) 1))
(* b (- (* -1 b) 1))
(* b (- (* -1 b) 1))
(* -1 (pow b 2))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(* -1 (* (pow b 2) (+ 1 (/ 1 b))))
(pow b 2)
(* (pow b 2) (+ 1 (/ 1 b)))
(* (pow b 2) (+ 1 (/ 1 b)))
(* (pow b 2) (+ 1 (/ 1 b)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))
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(/ (+ (* -1/2 c) (* 1/2 (/ (pow b 2) a))) b)
(/ (+ (* -1/2 c) (* 1/2 (/ (pow b 2) a))) b)
(* 1/2 (/ b a))
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(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
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(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
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(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
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(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(* 1/2 (/ b a))
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(/ (+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 1/2 (/ a b))
(* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(log (pow b 2))
(+ (log (pow b 2)) (* -4 (/ (* a c) (pow b 2))))
(+ (log (pow b 2)) (* a (+ (* -8 (/ (* a (pow c 2)) (pow b 4))) (* -4 (/ c (pow b 2))))))
(+ (log (pow b 2)) (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -64/3 (/ (* a (pow c 3)) (pow b 6))) (* -8 (/ (pow c 2) (pow b 4))))))))
(+ (log (* -4 c)) (* -1 (log (/ 1 a))))
(+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow b 2) (* a c))) (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))))))
(+ (log (* -4 c)) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))
(+ (log (* 4 c)) (* -1 (log (/ -1 a))))
(+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* a (pow c 2)))) (* 1/4 (/ (pow b 2) c))) a))))
(+ (log (* 4 c)) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow c 2))) (* -1/192 (/ (pow b 6) (* a (pow c 3))))) a)) (* 1/4 (/ (pow b 2) c))) a))))
(log (pow b 2))
(+ (log (pow b 2)) (* -4 (/ (* a c) (pow b 2))))
(+ (log (pow b 2)) (* c (+ (* -8 (/ (* (pow a 2) c) (pow b 4))) (* -4 (/ a (pow b 2))))))
(+ (log (pow b 2)) (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -64/3 (/ (* (pow a 3) c) (pow b 6))) (* -8 (/ (pow a 2) (pow b 4))))))))
(+ (log (* -4 a)) (* -1 (log (/ 1 c))))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))))))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))
(+ (log (* 4 a)) (* -1 (log (/ -1 c))))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1/4 (/ (pow b 2) (* a c)))))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* (pow a 2) c))) (* 1/4 (/ (pow b 2) a))) c))))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow a 2))) (* -1/192 (/ (pow b 6) (* (pow a 3) c)))) c)) (* 1/4 (/ (pow b 2) a))) c))))
(log (* -4 (* a c)))
(+ (log (* -4 (* a c))) (* -1/4 (/ (pow b 2) (* a c))))
(+ (log (* -4 (* a c))) (* (pow b 2) (- (* -1/32 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))))
(+ (log (* -4 (* a c))) (* (pow b 2) (- (* (pow b 2) (- (* -1/192 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/32 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))))
(* -2 (log (/ 1 b)))
(+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))
(+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b)))))
(+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))))
(* -2 (log (/ -1 b)))
(+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))
(+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b)))))
(+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))

Outputs
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 a (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 c b))) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -4))
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b
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(/.f64 b (neg.f64 a))
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* (sqrt (/ c a)) (sqrt -1))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(log (pow b 2))
(log.f64 (*.f64 b b))
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(+.f64 (log.f64 (.f64 a #s(literal -4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b b) (*.f64 a c)) (log.f64 c)))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))))))
(+.f64 (log.f64 (.f64 a #s(literal -4 binary64))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b b) (.f64 a c)) (log.f64 c)) (/.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 a c) (*.f64 a c)))))
(+ (log (* -4 a)) (+ (* -1 (log (/ 1 c))) (+ (* -1/4 (/ (pow b 2) (* a c))) (+ (* -1/32 (/ (pow b 4) (* (pow a 2) (pow c 2)))) (* -1/192 (/ (pow b 6) (* (pow a 3) (pow c 3))))))))
(+.f64 (log.f64 (.f64 a #s(literal -4 binary64))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b b) (.f64 a c)) (log.f64 c)) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 a c) (.f64 a c))) (/.f64 (.f64 #s(literal -1/192 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))))))
(+ (log (* 4 a)) (* -1 (log (/ -1 c))))
(-.f64 (log.f64 (*.f64 a #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) c)))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1/4 (/ (pow b 2) (* a c)))))
(+.f64 (log.f64 (.f64 a #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 b b)) (.f64 a c)) (log.f64 (/.f64 #s(literal -1 binary64) c))))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/32 (/ (pow b 4) (* (pow a 2) c))) (* 1/4 (/ (pow b 2) a))) c))))
(-.f64 (-.f64 (log.f64 (.f64 a #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) a) (/.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 c (*.f64 a a)))) c))
(+ (log (* 4 a)) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow b 4) (pow a 2))) (* -1/192 (/ (pow b 6) (* (pow a 3) c)))) c)) (* 1/4 (/ (pow b 2) a))) c))))
(-.f64 (-.f64 (log.f64 (.f64 a #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) a) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 a a)) (/.f64 (.f64 #s(literal -1/192 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 c (.f64 a (.f64 a a))))) c)) c))
(log (* -4 (* a c)))
(log.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
(+ (log (* -4 (* a c))) (* -1/4 (/ (pow b 2) (* a c))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b b) (.f64 a c)) (log.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
(+ (log (* -4 (* a c))) (* (pow b 2) (- (* -1/32 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))))
(fma.f64 (.f64 b b) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 b b) (.f64 (.f64 a c) (.f64 a c))) (/.f64 #s(literal -1/4 binary64) (.f64 a c))) (log.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
(+ (log (* -4 (* a c))) (* (pow b 2) (- (* (pow b 2) (- (* -1/192 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/32 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 #s(literal -1/192 binary64) (/.f64 (.f64 b b) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (/.f64 #s(literal -1/32 binary64) (.f64 (.f64 a c) (.f64 a c)))) (/.f64 #s(literal -1/4 binary64) (.f64 a c))) (log.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
(* -2 (log (/ 1 b)))
(neg.f64 (*.f64 (log.f64 b) #s(literal -2 binary64)))
(+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 b)) (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b)))
(+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b)))))
(fma.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 b)) (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 b b))))
(+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ 1 b))))))
(fma.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 6 binary64))) #s(literal -64/3 binary64) (fma.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 b)) (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b)))))
(* -2 (log (/ -1 b)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b)))
(+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b)))))
(fma.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 b b))))
(+ (* -64/3 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (log (/ -1 b))))))
(fma.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 6 binary64))) #s(literal -64/3 binary64) (fma.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b)))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (.f64 b (neg.f64 b)) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (.f64 b (neg.f64 b)) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (.f64 b (neg.f64 b)) a))))

rewrite435.0ms (3.3%)

Memory

45.1MiB live, 776.3MiB allocated

Rules

5 260×	`lower-*.f32`
5 240×	`lower-*.f64`
4 430×	`lower-/.f32`
4 418×	`lower-/.f64`
4 276×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	252
0	84	255
1	315	239
2	2669	239
0	9054	239

Stop Event

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

Counts

23 → 924

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (*.f64 a a)) #s(literal -64 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (*.f64 a a)) #s(literal -64 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)))))
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(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (sqrt.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))) (sqrt.f64 (.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))) (sqrt.f64 (.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (sqrt.f64 (.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))) (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b))) (.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))))
(pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 1 binary64)))
(pow.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (*.f64 a a)) #s(literal -64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (.f64 b b)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (*.f64 a a)) #s(literal -64 binary64))))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))
(.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))))
(.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))
(.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (*.f64 b b))) #s(literal 1 binary64)))

eval291.0ms (2.2%)

Memory: 7.4MiB live, 524.0MiB allocated
Compiler: Compiled 43 177 to 4 497 computations (89.6% saved)

prune285.0ms (2.1%)

Memory

-2.1MiB live, 494.5MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 534	20	1 554
Fresh	6	16	22
Picked	4	1	5
Done	0	2	2
Total	1 544	39	1 583

Accuracy

98.7%

Counts

1 583 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.3%	(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1/2 binary64)) a (.f64 a (.f64 b #s(literal -1/2 binary64)))) (.f64 a a))
	27.3%	(/.f64 (/.f64 (fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 (.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
	5.7%	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b #s(approx (sqrt (+ ( b b) (* c (* a -4)))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
▶	41.5%	(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	32.0%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	15.5%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	28.1%	(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	18.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64))))))))
	23.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64)))))))
	31.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))
▶	31.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	6.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
	12.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
✓	53.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	40.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))))
	31.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
✓	47.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	19.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* a (* -4 c)) (* b b))) (-.f64 (log.f64 (*.f64 a #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) c))))))))
	19.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* a (* -4 c)) (* b b))) (+.f64 (log.f64 (*.f64 c #s(literal -4 binary64))) (log.f64 a)))))))
	16.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* a (* -4 c)) (* b b))) (+.f64 (log.f64 (*.f64 a #s(literal -4 binary64))) (log.f64 c)))))))
▶	36.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
	2.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
	2.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))
	2.2%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b) (.f64 #s(literal 1/2 binary64) b)) (*.f64 b (/.f64 a b))))
	27.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
	35.2%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	14.4%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
	2.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
	2.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
	5.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
	2.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 b (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 b (.f64 b b)))) (.f64 (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))))
✓	5.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
	6.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
	6.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
	5.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
▶	3.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
	10.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
	36.7%	#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
	36.8%	#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))

Compiler

Compiled 1 261 to 780 computations (38.1% saved)

simplify272.0ms (2%)

Memory

-12.2MiB live, 335.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
cost-diff	0	(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
cost-diff	0	#s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b))
cost-diff	0	(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(*.f64 #s(literal 2 binary64) a)
cost-diff	0	#s(approx (+ b (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
cost-diff	128	(*.f64 b #s(literal 2 binary64))
cost-diff	0	(neg.f64 b)
cost-diff	0	#s(approx (* b (- -1 b)) (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
cost-diff	0	#s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))
cost-diff	0	(/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
cost-diff	128	(*.f64 #s(literal 2 binary64) a)
cost-diff	384	(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))

Rules

8 040×	`lower-fma.f32`
8 038×	`lower-fma.f64`
2 888×	`lower-*.f32`
2 870×	`lower-*.f64`
1 366×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	393
0	77	413
1	142	409
2	270	353
3	707	352
4	1453	352
5	3637	352
6	6129	352
7	7436	352
8	7918	352
0	8006	352

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (1.6%)

Memory

-23.5MiB live, 350.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.249986238027801	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
accuracy	4.426810443075398	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
accuracy	14.16891177462609	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
accuracy	25.86069606745178	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
accuracy	0.00390625	(.f64 (.f64 a c) #s(literal -2 binary64))
accuracy	2.4383109218392307	(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
accuracy	5.293925672445679	(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
accuracy	41.543024999110955	#s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b))
accuracy	0	(/.f64 #s(literal -1/2 binary64) a)
accuracy	0	(*.f64 b #s(literal 2 binary64))
accuracy	2.514814681607673	(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
accuracy	40.57365935533838	#s(approx (+ b (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64)))
accuracy	0	(neg.f64 b)
accuracy	40.33098463144983	#s(approx (* b (- -1 b)) (neg.f64 b))
accuracy	60.23799454146904	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
accuracy	2.4383109218392307	(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.16891177462609	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
accuracy	16.090517830902225	(/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
accuracy	25.86069606745178	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))

Samples

50.0ms	76×	2	valid
34.0ms	79×	1	valid
33.0ms	15×	3	valid
29.0ms	86×	0	valid

Compiler

Compiled 361 to 42 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-sqrt: 29.0ms (29% of total)

ival-mult: 21.0ms (21% of total)

ival-div: 20.0ms (20% of total)

adjust: 13.0ms (13% of total)

ival-sub: 10.0ms (10% of total)

ival-add: 5.0ms (5% 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)

series144.0ms (1.1%)

Memory

39.1MiB live, 235.8MiB allocated

Counts

21 → 624

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))>
#<alt (*.f64 #s(literal 2 binary64) a)>
#<alt (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))>
#<alt #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))>
#<alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))>
#<alt #s(approx (* b (- -1 b)) (neg.f64 b))>
#<alt (neg.f64 b)>
#<alt (*.f64 b #s(literal 2 binary64))>
#<alt (.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt #s(approx (+ b (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64)))>
#<alt (/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))>
#<alt #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b))>
#<alt (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)>
#<alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))>
#<alt (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))>
#<alt (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))>
#<alt (.f64 (.f64 a c) #s(literal -2 binary64))>
#<alt (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))>

Outputs
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (pow (sqrt -4) 2))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (pow (sqrt -4) 2))))))>
#<alt (* 1/2 (/ b a))>
#<alt (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (* 1/2 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 1/2 (/ 1 a))) (+ (* -1/2 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (/ (* a (pow c 2)) (pow b 4))))))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* 1/2 (/ b a))>
#<alt (+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (/ b a)) (* c (- (* -1 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))>
#<alt (+ (* 1/2 (/ b a)) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -4)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (/ b c))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c))))>
#<alt (* -2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b c)))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c))) c)))>
#<alt (* 1/2 (/ b a))>
#<alt (/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)>
#<alt (/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b))))) a)>
#<alt (/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (pow (sqrt -4) 2))) a)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2))))>
#<alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (pow (sqrt -4) 2)))))>
#<alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (pow (sqrt -4) 2)))))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* -1/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) (* 1/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (- (+ 1/2 (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6)))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/2 (/ (* a c) b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b)))))>
#<alt (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b)))))>
#<alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c)>
#<alt (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/2 (/ (* a c) b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))>
#<alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (pow (sqrt -4) 2))) a)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (* (pow b 2) (+ 1 (/ 1 b))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ 1 (* -4 (/ (* a c) b))) b)) 1))>
#<alt (/ b a)>
#<alt (/ (+ b (* -2 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (/ b a)>
#<alt (+ (* -2 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))>
#<alt (* -1 b)>
#<alt (* b (- (* -1 b) 1))>
#<alt (* b (- (* -1 b) 1))>
#<alt (* b (- (* -1 b) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (* (pow b 2) (+ 1 (/ 1 b))))>
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#<alt (/ -1/2 a)>
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#<alt (* 1/2 b)>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* 1/2 b)>
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#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>

Calls

156 calls:

Time	Variable		Point	Expression
16.0ms	a	@	0	(/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))
9.0ms	a	@	inf	(/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4))))))
5.0ms	b	@	0	(/ 1 (- b (sqrt (+ (* b b) (* c (* a -4))))))
4.0ms	a	@	0	(/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))
4.0ms	a	@	0	(/ 1 (- b (sqrt (+ (* b b) (* c (* a -4))))))

simplify465.0ms (3.5%)

Memory

11.1MiB live, 717.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 524×	`lower-*.f64`
7 524×	`lower-*.f32`
7 442×	`lower-fma.f64`
7 442×	`lower-fma.f32`
5 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1234	13220
1	4097	12816
0	8498	12329

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 621

Calls

Call 1

Inputs
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (pow (sqrt -4) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (pow (sqrt -4) 2))))))
(* 1/2 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (* 1/2 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 1/2 (/ 1 a))) (+ (* -1/2 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 1/2 (/ b a))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(+ (* 1/2 (/ b a)) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(* -1 (* (sqrt (/ a c)) (sqrt -4)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (/ b c))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c))))
(* -2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b c)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c))) c)))
(* 1/2 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b))))) a)
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b))))) a)
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (pow (sqrt -4) 2))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (* a b))) a)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) a))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (pow (sqrt -4) 2)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (pow (sqrt -4) 2)))))
(* 1/2 b)
(* b (+ 1/2 (* -1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) (* 1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6)))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -2 (/ (* a c) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* 1/2 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b)))))
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c)
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* 1/2 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* 1/2 (/ c b)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (pow (sqrt -4) 2))) a)
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(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) a)
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(* 1/2 b)
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(* 1/2 b)
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(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -1)))
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(* -2 (/ (* a c) b))
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(* -2 (/ (* a c) b))
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(* -2 (/ (* a c) b))
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(* -2 (/ (* a c) b))
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(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -1 (* (sqrt (/ c a)) (sqrt -4)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (/ 1 a))))
(* 2 (/ c b))
(/ (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* 2 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(/ b a)
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(* 2 (/ c b))
(* c (+ (* 2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))
(* c (+ (* c (+ (* 2 (/ a (pow b 3))) (* 4 (/ (* (pow a 2) c) (pow b 5))))) (* 2 (/ 1 b))))
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(* -1 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (/ b (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b (* a c))))))
(* 2 (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5))))))
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(* -1 (* (sqrt (/ c a)) (sqrt -4)))
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(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 1/2 (/ a b))
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(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
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(* 2 (/ (* a c) b))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* 2 (/ (* a c) b))
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(* -1 (* (sqrt (/ c a)) (sqrt -4)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(/ 1/2 b)
(* -1 (/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) b))
(* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 1/2 (/ (* a c) (pow b 2))))) b))
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(* 2 (/ (* a c) b))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))

Outputs
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2)))))
(-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (pow (sqrt -4) 2))))))
(fma.f64 b (fma.f64 b (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 a #s(literal -4 binary64)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (pow (sqrt -4) 2))))))
(-.f64 (.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) (.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal -4 binary64))))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
(* b (- (+ (* -1 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (* 1/2 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))
(.f64 b (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 c c))) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 1/2 (/ 1 a))) (+ (* -1/2 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (/ (* a (pow c 2)) (pow b 4))))))
(.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (.f64 c (.f64 a a))) (.f64 (.f64 a a) (neg.f64 (.f64 c (.f64 c c))))) (.f64 (.f64 c a) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 c c))))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b)))))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)))) (neg.f64 b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 4 binary64))) #s(literal -5/2 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))))) (neg.f64 b))
(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(fma.f64 c (fma.f64 c (.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a))
(+ (* 1/2 (/ b a)) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(fma.f64 c (fma.f64 c (fma.f64 (+.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b (.f64 b b)))) (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (.f64 a a))) (neg.f64 c) (.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b (.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a))
(* -1 (* (sqrt (/ a c)) (sqrt -4)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (/ b c))
(-.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (neg.f64 (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 b c)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(* -2 (* (sqrt (/ a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b c)))
(fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b (neg.f64 c)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) b) (neg.f64 c)))
(+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c))) c)))
(-.f64 (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b (/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)) c))
(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b) (.f64 b #s(literal 1/2 binary64))) a)
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -2 (* a c))
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(* -2 (* a c))
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(* -2 (* a c))
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(* -2 (* a c))
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(* -2 (* a c))
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(* -4 (* a c))
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(pow b 2)
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(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))

rewrite425.0ms (3.2%)

Memory

2.7MiB live, 617.6MiB allocated

Rules

5 000×	`lower-/.f32`
4 986×	`lower-/.f64`
4 602×	`lower-*.f32`
4 584×	`lower-*.f64`
4 338×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	314
0	77	313
1	274	308
2	1973	308
0	8509	308

Stop Event

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

Counts

21 → 542

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))) (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)))) (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))))
(/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 a #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 a #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b))) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b))))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
(/.f64 (.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(literal 1/2 binary64)) a)
(/.f64 (.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 1 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)) (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (neg.f64 (neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 (.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 (.f64 (neg.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 (/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) a) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)) (.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (/.f64 #s(literal 1/2 binary64) a))) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b))))
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 a #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) a)) #s(literal -2 binary64))
(pow.f64 (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 a #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64)))))
(.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (*.f64 a #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 #s(literal 1/2 binary64) a))
(.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (neg.f64 a)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) a))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 a #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(.f64 (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b))) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(approx (- (+ ( b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))))
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(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b (neg.f64 b))))))
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(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) (fma.f64 b b (.f64 (*.f64 c a) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b (neg.f64 b)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (*.f64 c a) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (neg.f64 (fma.f64 b b (.f64 (*.f64 c a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b (neg.f64 b))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))) (sqrt.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b))))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))) (sqrt.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b))))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))) (sqrt.f64 (.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b)))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b)))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) (.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))))) (.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b (neg.f64 b))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (*.f64 c a) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 (*.f64 c a) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b (neg.f64 b)))))
(pow.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (*.f64 c a) #s(literal 4 binary64))))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 c a)))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b)))))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 c a))))))
(.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b (neg.f64 b)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) #s(literal 1 binary64)))

eval214.0ms (1.6%)

Memory: -0.2MiB live, 477.3MiB allocated
Compiler: Compiled 44 243 to 3 746 computations (91.5% saved)

prune256.0ms (1.9%)

Memory

-20.2MiB live, 504.0MiB allocated

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	1 448	8	1 456
Fresh	4	27	31
Picked	1	4	5
Done	0	3	3
Total	1 453	42	1 495

Accuracy

98.7%

Counts

1 495 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(/.f64 (/.f64 (fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 (.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
	5.7%	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b #s(approx (sqrt (+ ( b b) (* c (* a -4)))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
✓	41.5%	(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	30.2%	(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
	42.1%	(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 c a))))))
	32.0%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	15.5%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	28.1%	(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	36.2%	(/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))
	23.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64)))))))
	31.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))
	23.6%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))) a))
	7.1%	(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (- b (sqrt (+ ( b b) (* c (* a -4)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)) a))
	6.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
	12.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
✓	53.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	31.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
✓	47.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	19.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* a (* -4 c)) (* b b))) (-.f64 (log.f64 (*.f64 a #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) c))))))))
	19.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* a (* -4 c)) (* b b))) (+.f64 (log.f64 (*.f64 c #s(literal -4 binary64))) (log.f64 a)))))))
	16.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* a (* -4 c)) (* b b))) (+.f64 (log.f64 (*.f64 a #s(literal -4 binary64))) (log.f64 c)))))))
✓	36.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
	2.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
	2.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))
	2.2%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b) (.f64 #s(literal 1/2 binary64) b)) (*.f64 b (/.f64 a b))))
	27.3%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
	35.2%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	14.4%	#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
	2.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
	2.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
	5.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
✓	5.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
	1.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b)))))))
	6.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
	6.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
	6.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
	5.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
✓	3.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
	10.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
	36.7%	#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
	36.8%	#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
	36.7%	#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))

Compiler

Compiled 2 217 to 720 computations (67.5% saved)

regimes115.0ms (0.9%)

Memory

11.4MiB live, 164.1MiB allocated

Counts

84 → 4

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	a
24.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
24.0ms	c
24.0ms	b

Results

Accuracy	Segments	Branch
55.3%	2	`a`
88.9%	4	`b`
58.8%	3	`c`
75.3%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes34.0ms (0.3%)

Memory

-3.5MiB live, 38.6MiB allocated

Counts

58 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 c (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (- b (sqrt (+ ( b b) (* c (* a -4)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)) a))
(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b)))))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (fma.f64 b b b) c)))) (.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b) (.f64 #s(literal 1/2 binary64) b)) (*.f64 b (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b #s(approx (sqrt (+ ( b b) (* c (* a -4)))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1/2 binary64)) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1/2 binary64)) a (.f64 a (.f64 b #s(literal -1/2 binary64)))) (.f64 a a))
(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))))

Outputs

#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))

(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))

#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
87.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes39.0ms (0.3%)

Memory

-2.5MiB live, 33.5MiB allocated

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 c (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (- b (sqrt (+ ( b b) (* c (* a -4)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)) a))
(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b)))))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (fma.f64 b b b) c)))) (.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b) (.f64 #s(literal 1/2 binary64) b)) (*.f64 b (/.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 b #s(approx (sqrt (+ ( b b) (* c (* a -4)))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))

Outputs

#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))

(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))

#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
87.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.3%)

Memory

-7.1MiB live, 29.8MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 c (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (- b (sqrt (+ ( b b) (* c (* a -4)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)) a))
(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b)))))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (fma.f64 b b b) c)))) (.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64)))))))

Outputs

#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))

(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))

#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
87.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.3%)

Memory

-7.9MiB live, 28.8MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 c (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (- b (sqrt (+ ( b b) (* c (* a -4)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)) a))
(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b)))))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (fma.f64 b b b) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))

(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))

#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
83.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 c (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (- b (sqrt (+ ( b b) (* c (* a -4)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)) a))
(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b)))

Outputs

#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))

(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))

#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
83.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes76.0ms (0.6%)

Memory

-18.4MiB live, 58.2MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (.f64 b (neg.f64 b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 c (.f64 a #s(literal -4 binary64)) b)) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 c (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (- b (sqrt (+ ( b b) (* c (* a -4)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)) a))
(/.f64 #s(approx (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b))) b) (fma.f64 b (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 b #s(literal 1/2 binary64))) a))

Outputs

#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))

#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))

Calls

2 calls:

39.0ms	b
35.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
53.6%	4	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
69.5%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (-.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 c b) #s(literal 2 binary64)))
#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) #s(approx (+ (* (/ b a) 1/2) (/ (* -1/2 c) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ b (sqrt (+ ( b b) (* c (* a -4))))) (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b b)) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (fma.f64 b b b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (neg.f64 (*.f64 b b))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 b (-.f64 #s(literal -1 binary64) b))) (.f64 #s(literal 2 binary64) a))

Outputs

#s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b)))

#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
69.3%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.2%)

Memory

-18.0MiB live, 21.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
3.0ms	c
3.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
36.7%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
36.7%	1	`a`
36.7%	1	`c`
36.7%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b))))

Calls

4 calls:

3.0ms	c
3.0ms	a
3.0ms	b
2.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
6.3%	1	`b`
10.2%	2	`a`
10.2%	2	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
6.3%	1	`c`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))

Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))

Calls

2 calls:

2.0ms	a
2.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
10.2%	2	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
10.2%	2	`a`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

9.4MiB live, 9.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))

Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))

Calls

3 calls:

2.0ms	a
1.0ms	b
1.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
6.3%	1	`b`
6.3%	1	`a`
6.3%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes27.0ms (0.2%)

Memory

-28.3MiB live, 11.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))

Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))

Calls

4 calls:

23.0ms	b
1.0ms	a
1.0ms	c
1.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
3.3%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
3.3%	1	`c`
3.3%	1	`a`
3.3%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch163.0ms (1.2%)

Memory

-19.7MiB live, 116.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.632662606305899e+108	4.201129079306569e+116
45.0ms	-5.865716588570791e-197	-2.409712445875335e-197
67.0ms	-4.51862693974395	-1.9597128910563633e-10

Samples

47.0ms	60×	1	valid
19.0ms	248×	0	valid
8.0ms	40×	2	valid
5.0ms	60×	0	invalid
1.0ms	4×	3	valid

Compiler

Compiled 865 to 526 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

adjust: 41.0ms (61.1% of total)

ival-mult: 10.0ms (14.9% of total)

ival-sub: 5.0ms (7.5% of total)

ival-div: 4.0ms (6% of total)

ival-sqrt: 4.0ms (6% of total)

ival-neg: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch80.0ms (0.6%)

Memory

32.8MiB live, 69.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.632662606305899e+108	4.201129079306569e+116
75.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Samples

53.0ms	89×	0	valid
7.0ms	46×	1	valid
5.0ms	25×	2	valid
4.0ms	45×	0	invalid

Compiler

Compiled 585 to 391 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-neg: 47.0ms (76.7% of total)

ival-mult: 5.0ms (8.2% of total)

ival-sub: 3.0ms (4.9% of total)

ival-div: 2.0ms (3.3% of total)

adjust: 2.0ms (3.3% of total)

ival-sqrt: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.632662606305899e+108	4.201129079306569e+116
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 568 to 391 computations (31.2% saved)

bsearch39.0ms (0.3%)

Memory

-39.3MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.632662606305899e+108	4.201129079306569e+116
38.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 534 to 357 computations (33.1% saved)

bsearch33.0ms (0.3%)

Memory

1.3MiB live, 39.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Samples

9.0ms	112×	0	valid
2.0ms	19×	0	invalid

Compiler

Compiled 503 to 350 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (42.3% of total)

ival-sub: 1.0ms (14.1% of total)

ival-div: 1.0ms (14.1% of total)

ival-sqrt: 1.0ms (14.1% of total)

ival-neg: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.793354933850085e-18	2.8406695952918943e-16
1.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Compiler

Compiled 486 to 333 computations (31.5% saved)

bsearch49.0ms (0.4%)

Memory

2.1MiB live, 39.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Samples

26.0ms	77×	0	invalid
12.0ms	160×	0	valid

Compiler

Compiled 233 to 150 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40.9% of total)

ival-sub: 2.0ms (16.4% of total)

ival-div: 2.0ms (16.4% of total)

ival-sqrt: 1.0ms (8.2% of total)

ival-neg: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.577302955458091e-306	2.5611943984039102e-300

Compiler

Compiled 203 to 140 computations (31% saved)

bsearch72.0ms (0.5%)

Memory

6.5MiB live, 45.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	-5.405627868023121e-308	7.349604981353089e-295

Samples

49.0ms	38×	2	valid
7.0ms	91×	0	valid
4.0ms	17×	3	valid
2.0ms	14×	1	valid
1.0ms	13×	0	invalid

Compiler

Compiled 223 to 130 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

adjust: 44.0ms (77.4% of total)

ival-mult: 4.0ms (7% of total)

ival-sub: 3.0ms (5.3% of total)

ival-div: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.714144146660444e-247	-0.0

Compiler

Compiled 23 to 20 computations (13% saved)

simplify62.0ms (0.5%)

Memory

-14.5MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative_binary64`
56×	`+-commutative_binary64`
48×	`sub-neg_binary64`
38×	`neg-sub0_binary64`
38×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	908
1	160	908
2	199	908
3	240	908
4	263	908
5	278	908
6	284	908
7	287	908
8	288	908

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -4835703278458517/151115727451828646838272 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))) #s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))) #s(approx ( (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(approx ( (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2271629875608987/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) a)) #s(approx (+ ( b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2271629875608987/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64)))))) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a))))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
(if (<=.f64 a #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 b b))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b)))))
(if (<=.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #s(literal -3148880786512287/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 b (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))

Outputs
(if (<=.f64 b #s(literal -4835703278458517/151115727451828646838272 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))) #s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))))
(if (<=.f64 b #s(literal -4835703278458517/151115727451828646838272 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b #s(literal -4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (/.f64 (/.f64 #s(approx (- (+ (* b b) (* c (* a -4))) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))) #s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))) #s(approx ( (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))) #s(approx ( (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))) #s(approx (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(approx ( (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b #s(literal 149999999999999993584909520287978756150221301067673753592787863491775321471630929849935811689753424257378234037960704 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(approx ( (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2271629875608987/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) a)) #s(approx (+ ( b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b #s(literal 2271629875608987/324518553658426726783156020576256 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))) #s(approx (+ ( b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2271629875608987/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 (.f64 a c) #s(literal -4 binary64)))))) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -2267793958028627/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b #s(literal 2271629875608987/324518553658426726783156020576256 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (/ (- (+ (* b b) (* c (* a -4))) (* b b)) (- b (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a))))
#s(approx (+ (* b (/ -1/2 a)) (/ (sqrt (+ (* b b) (* c (* a -4)))) (* a -2))) (/.f64 b (neg.f64 a)))
(if (<=.f64 a #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (.f64 b b))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 (fma.f64 b b b)))))
(if (<=.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) #s(literal -3148880786512287/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 b (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b))))
(if (<=.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))) #s(literal -3148880786512287/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 b (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (*.f64 b b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* b (- -1 b)) (neg.f64 b)))

soundness1.6s (12.3%)

Memory

16.8MiB live, 1 092.7MiB allocated

Rules

16 160×	`lower-fma.f64`
16 160×	`lower-fma.f32`
7 524×	`lower-*.f64`
7 524×	`lower-*.f32`
7 442×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1234	13220
1	4097	12816
0	8498	12329
0	14	51
0	23	51
1	81	51
2	591	48
0	8093	44
0	1264	12204
1	4085	12013
0	8145	11480
0	55	314
0	77	313
1	274	308
2	1973	308
0	8509	308
0	1207	11343
1	3981	11101
0	8341	10615
0	252	2117
1	719	2109
2	2288	1991
3	5672	1960
0	8604	1814

Stop Event

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

Compiler

Compiled 819 to 411 computations (49.8% saved)

preprocess154.0ms (1.1%)

Memory: -13.3MiB live, 186.2MiB allocated
Compiler: Compiled 954 to 248 computations (74% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	125	908
1	160	908
2	199	908
3	240	908
4	263	908
5	278	908
6	284	908
7	287	908
8	288	908

Iter	Nodes	Cost
0	125	908
1	160	908
2	199	908
3	240	908
4	263	908
5	278	908
6	284	908
7	287	908
8	288	908

start0.0ms (0%)

analyze234.0ms (1.8%)

sample2.1s (15.5%)

explain251.0ms (1.9%)

preprocess217.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify103.0ms (0.8%)

localize47.0ms (0.4%)

series37.0ms (0.3%)

simplify424.0ms (3.2%)

rewrite405.0ms (3%)

eval88.0ms (0.7%)

prune192.0ms (1.4%)

simplify273.0ms (2%)

localize185.0ms (1.4%)

series203.0ms (1.5%)

simplify449.0ms (3.4%)

rewrite412.0ms (3.1%)

eval373.0ms (2.8%)

prune295.0ms (2.2%)

simplify267.0ms (2%)

localize347.0ms (2.6%)

series226.0ms (1.7%)

simplify534.0ms (4%)

rewrite435.0ms (3.3%)

eval291.0ms (2.2%)

prune285.0ms (2.1%)

simplify272.0ms (2%)

localize207.0ms (1.6%)

series144.0ms (1.1%)

simplify465.0ms (3.5%)

rewrite425.0ms (3.2%)

eval214.0ms (1.6%)

prune256.0ms (1.9%)

regimes115.0ms (0.9%)

regimes34.0ms (0.3%)

regimes39.0ms (0.3%)

regimes37.0ms (0.3%)

regimes35.0ms (0.3%)

regimes13.0ms (0.1%)

regimes76.0ms (0.6%)

regimes7.0ms (0.1%)

regimes32.0ms (0.2%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes27.0ms (0.2%)

bsearch163.0ms (1.2%)

bsearch80.0ms (0.6%)

bsearch2.0ms (0%)

bsearch39.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch2.0ms (0%)

bsearch49.0ms (0.4%)

bsearch1.0ms (0%)

bsearch72.0ms (0.5%)

bsearch0.0ms (0%)

simplify62.0ms (0.5%)

soundness1.6s (12.3%)

preprocess154.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	125	908
1	160	908
2	199	908
3	240	908
4	263	908
5	278	908
6	284	908
7	287	908
8	288	908