Metrics for quadm (p42, negative)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze158.0ms (2.1%)

Memory

32.6MiB live, 126.8MiB 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)

sample1.8s (23.5%)

Memory

25.6MiB live, 2 088.8MiB allocated

Samples

543.0ms	5 491×	0	valid
362.0ms	1 269×	2	valid
221.0ms	1 320×	1	valid
87.0ms	995×	0	invalid
52.0ms	176×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 953.0ms

ival-mult: 351.0ms (36.8% of total)

ival-sub: 164.0ms (17.2% of total)

adjust: 141.0ms (14.8% of total)

ival-sqrt: 119.0ms (12.5% of total)

ival-div: 97.0ms (10.2% of total)

ival-neg: 62.0ms (6.5% of total)

exact: 9.0ms (0.9% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain204.0ms (2.7%)

Memory

26.2MiB live, 165.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
104	-	1	(2.4379813409936645e-308 4.5005577676021296e-158 -7.073943257048438e-44)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
60	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
12	-	2	(-3.77083859788112e-245 -9.432690153833788e-241 4.288297106389993e-306)	`(/.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	-	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	95	0
↳	`(*.f64 b b)`	overflow	75
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	33
↳	`(*.f64 a c)`	overflow	33
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	95
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	60	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	10	0
↳	`(*.f64 b b)`	underflow	40
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	20
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	33
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	8
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	8	0
↳	`(*.f64 b b)`	underflow	40
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	33
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	8
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	6	0
↳	`(*.f64 b b)`	overflow	75
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	33
↳	`(*.f64 a c)`	overflow	33

Confusion

	Predicted +	Predicted -
+	127	1
-	16	112

Precision

0.8881118881118881

Recall

0.9921875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	1
-	16	0	112

Precision?

0.8881118881118881

Recall?

0.9921875

Freqs

test

number	freq
0	113
1	111
2	28
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	352×	0	valid
23.0ms	74×	2	valid
14.0ms	76×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 15.0ms (31.9% of total)

ival-div: 9.0ms (19.2% of total)

ival-sub: 7.0ms (14.9% of total)

adjust: 7.0ms (14.9% of total)

ival-sqrt: 6.0ms (12.8% of total)

ival-neg: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess46.0ms (0.6%)

Memory

-35.0MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	164	151
2	414	151
3	836	151
4	1096	151
5	1233	151
6	1312	151
7	1326	151
0	14	17
0	23	17
1	43	17
2	91	17
3	170	17
4	253	17
5	304	17
6	314	17
7	342	17
8	378	17
9	405	17
0	405	16

Stop Event

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(/.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 17 to 14 computations (17.6% saved)

simplify10.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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	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))
cost-diff	1	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

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

localize53.0ms (0.7%)

Memory

-11.9MiB live, 33.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.2031250000000002	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	2.3398077246919238	(/.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	14.013666997066347	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	24.134406968777864	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

16.0ms	176×	0	valid
9.0ms	37×	2	valid
7.0ms	38×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 7.0ms (33.1% of total)

ival-sub: 3.0ms (14.2% of total)

adjust: 3.0ms (14.2% of total)

ival-div: 3.0ms (14.2% of total)

ival-sqrt: 3.0ms (14.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

5 → 99

Calls

Call 1

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

Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -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)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
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))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* 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)))))
(* (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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (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)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -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)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* -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) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* 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)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 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)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* 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)))))))
(* 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 (/ 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))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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 (* 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)) (/ 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))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 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))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* 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)))))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -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 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -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)) b) c)) (* 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))))))))

Calls

9 calls:

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

simplify183.0ms (2.4%)

Memory

23.6MiB live, 110.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	2723
1	1785	2702
2	7277	2702
0	8059	2563

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -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)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
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))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* 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)))))
(* (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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (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)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -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)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* -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) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* 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)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 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)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* 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)))))))
(* 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 (/ 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))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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 (* 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)) (/ 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))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 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))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* 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)))))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -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 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -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)) b) c)) (* 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))))))))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (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 (fma.f64 (fma.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(.f64 (-.f64 (/.f64 (.f64 c a) b) b) #s(literal 2 binary64))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.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 (fma.f64 (.f64 #s(literal -4 binary64) a) (.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b)
(* -4 (* a c))
(.f64 (.f64 c a) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 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))))))
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(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 c c) b) (.f64 c a))) (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))))) b))
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 c c) b) (*.f64 c a)))) (neg.f64 b))
(* -1 (/ (- (* 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))
(/.f64 (-.f64 (fma.f64 (.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 c c) b) (.f64 c a)) #s(literal -2 binary64))) (neg.f64 b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -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))))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))) (neg.f64 b))
(+ (* -1 (/ b a)) (/ c b))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 c (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) c) (fma.f64 c (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 (.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 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)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/4 binary64) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64))) 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64))))))) c)
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (-.f64 (/.f64 (neg.f64 b) c) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) 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)))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) 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)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -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)))))
(neg.f64 (.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) 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 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 c))) c))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) b) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (- (* -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)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 b b)) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -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))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite191.0ms (2.5%)

Memory

-15.5MiB live, 127.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	73	51
2	493	50
3	6058	50
0	8175	46

Stop Event

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

Counts

5 → 268

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))))
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(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(exp.f64 (.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))

eval87.0ms (1.1%)

Memory: 7.8MiB live, 53.0MiB allocated
Compiler: Compiled 13 820 to 1 736 computations (87.4% saved)

prune13.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	351	14	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	14	366

Accuracy

90.7%

Counts

366 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
▶	32.5%	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
	25.6%	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	21.7%	(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
	16.7%	(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 3/2 binary64))) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 #s(literal -2 binary64) a)))
	31.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	52.5%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
▶	27.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
	52.3%	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
▶	37.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	33.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	37.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a)) b))

Compiler

Compiled 736 to 480 computations (34.8% saved)

simplify211.0ms (2.8%)

Memory

-72.0MiB live, 70.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) a)
cost-diff	0	(/.f64 b #s(literal -2 binary64))
cost-diff	4	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
cost-diff	5	(fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
cost-diff	0	(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b)
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
cost-diff	0	(*.f64 (/.f64 a b) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
cost-diff	0	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	332
0	72	319
1	149	318
2	358	316
3	1143	312
4	4495	312
0	8379	312

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (2.2%)

Memory

1.2MiB live, 190.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.2031250000000002	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	17.480152829451985	(fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
accuracy	24.134406968777864	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	30.023798086624183	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
accuracy	0.5026288100399995	(/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b)
accuracy	0.7529642194382611	(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64))
accuracy	1.190150870137093	(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))
accuracy	39.97675184433454	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
accuracy	0.00390625	(*.f64 (/.f64 a b) #s(literal -2 binary64))
accuracy	2.3398077246919238	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy	2.9887263377967423	(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
accuracy	42.592193576629874	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
accuracy	0.0	(/.f64 c (neg.f64 b))
accuracy	0.0	(neg.f64 b)
accuracy	42.63456478282416	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	1.2031250000000002	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	2.3398077246919238	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	14.013666997066347	(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
accuracy	24.134406968777864	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))

Samples

64.0ms	176×	0	valid
27.0ms	35×	2	valid
19.0ms	36×	1	valid
10.0ms	9×	3	valid

Compiler

Compiled 311 to 43 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 31.0ms (36.1% of total)

ival-mult: 24.0ms (27.9% of total)

adjust: 13.0ms (15.1% of total)

ival-add: 7.0ms (8.1% of total)

ival-sqrt: 5.0ms (5.8% of total)

ival-sub: 3.0ms (3.5% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series45.0ms (0.6%)

Memory

19.2MiB live, 64.1MiB allocated

Counts

19 → 194

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	c	@	inf	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a))
8.0ms	b	@	inf	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a))
5.0ms	a	@	0	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a))
4.0ms	b	@	-inf	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a))
4.0ms	a	@	-inf	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a))

simplify191.0ms (2.5%)

Memory

-17.3MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	854	4897
1	3046	4819
0	8610	4574

Stop Event

1×	iter limit
1×	node limit

Counts

194 → 193

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (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 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 a c) b) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a (*.f64 #s(literal 2 binary64) b))
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 (.f64 #s(literal -2 binary64) a) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.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 (fma.f64 (.f64 #s(literal -4 binary64) a) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 a c) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(* -2 (/ (* a c) b))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))
(* -2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 b) (/ (* a c) (pow b 3)))
(fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))
1
#s(literal 1 binary64)
(+ 1 (/ (* a c) (pow b 2)))
(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 a c) b) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) (.f64 #s(literal 2 binary64) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a (.f64 #s(literal 2 binary64) b)) a)
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.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 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/4 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.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)))) (* 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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a)
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) 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)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a)
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) 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)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* 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 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (.f64 a c)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 (-.f64 (/.f64 (neg.f64 b) a) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a)
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) 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)))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a)
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64)))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a)
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a)
(/ (* a c) (pow b 3))
(*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(.f64 (+.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b a))) a)
(/ (* a c) (pow b 2))
(*.f64 (/.f64 a b) (/.f64 c b))
(* a (+ (/ 1 a) (/ c (pow b 2))))
(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64))
(* (sqrt (* (pow a 3) c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64)))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(.f64 (.f64 a a) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(* (pow a 2) (+ (* -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)))))
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(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) 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)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (-.f64 (/.f64 (neg.f64 b) c) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) 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)))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c)
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (.f64 c c))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (.f64 c c)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (*.f64 c c))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c)
(* c (+ (/ 1 c) (/ a (pow b 2))))
(fma.f64 (/.f64 a (*.f64 b b)) c #s(literal 1 binary64))
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64)) (.f64 a (/.f64 b c))) c)
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64)) (.f64 a (/.f64 b c)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) a))) (fma.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 a (/.f64 b c))))) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -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 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 b a))) 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 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))) c))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c)))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) b) (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))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal 1/4 binary64))) c)) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (.f64 b b)) #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))
(* -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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (.f64 b b)) #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))
(* -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))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (.f64 b b)) #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 b c) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) b) c) #s(literal -1 binary64) (.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (- (* -1 (/ (- (* -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)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 b b)))) (neg.f64 c)) b) c) #s(literal -1 binary64) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1 binary64) b)) (neg.f64 c)) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (.f64 c c))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)))
(* -1 (* c (- (* -1 (/ a (pow b 2))) (/ 1 c))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (.f64 b b)) (/.f64 #s(literal 1 binary64) c)))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 a (/.f64 (neg.f64 b) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (.f64 b a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (/.f64 (fma.f64 b a (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c))) (.f64 b b)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/64 binary64))) (neg.f64 c))) (neg.f64 c))))

rewrite206.0ms (2.7%)

Memory

11.7MiB live, 257.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	245
0	72	232
1	262	231
2	1830	231
0	8476	230

Stop Event

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

Counts

19 → 766

Calls

Call 1

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

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

eval123.0ms (1.6%)

Memory: 5.6MiB live, 230.5MiB allocated
Compiler: Compiled 34 837 to 3 556 computations (89.8% saved)

prune46.0ms (0.6%)

Memory

9.0MiB live, 89.0MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	884	8	892
Fresh	3	6	9
Picked	1	4	5
Done	0	0	0
Total	888	18	906

Accuracy

90.7%

Counts

906 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
▶	20.8%	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
	25.6%	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
▶	21.7%	(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
	28.5%	(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)) #s(literal 3/2 binary64))) (.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (.f64 #s(literal -2 binary64) a)))
✓	52.5%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	38.0%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (.f64 b b)))) b) (.f64 #s(literal -2 binary64) a))
	31.2%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
✓	27.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
	27.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
▶	22.8%	(/.f64 #s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 a (.f64 #s(literal -2 binary64) a)))
▶	52.3%	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
✓	37.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) (.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (.f64 b b)) (/.f64 #s(literal 1 binary64) c)))) b) c (/.f64 (neg.f64 b) a)))
	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
▶	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	33.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	37.6%	#s(approx (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))

Compiler

Compiled 914 to 601 computations (34.2% saved)

simplify162.0ms (2.1%)

Memory

-0.3MiB live, 141.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 c a)
cost-diff	0	(fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))
cost-diff	6	(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
cost-diff	7	(-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (*.f64 b b))
cost-diff	0	(*.f64 #s(literal -2 binary64) a)
cost-diff	0	(/.f64 b #s(literal -2 binary64))
cost-diff	4	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
cost-diff	5	(fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))
cost-diff	0	(*.f64 b a)
cost-diff	0	(.f64 (.f64 b a) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 b a) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 a (.f64 #s(literal -2 binary64) a)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (neg.f64 b) a)
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
cost-diff	4	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	404
0	83	399
1	166	383
2	482	363
3	1771	353
4	7093	353
0	8176	353

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (3%)

Memory

29.8MiB live, 219.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.222701149022532	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	24.134406968777864	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	25.27846248626241	(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
accuracy	35.34073784600134	(-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (*.f64 b b))
accuracy	17.480152829451985	(fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))
accuracy	24.134406968777864	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))
accuracy	30.023798086624183	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
accuracy	39.35676691938138	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) a)
accuracy	0.015625	(.f64 (.f64 b a) #s(literal 2 binary64))
accuracy	30.023798086624183	(/.f64 #s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 a (.f64 #s(literal -2 binary64) a)))
accuracy	35.9539654291415	#s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 b a) #s(literal 2 binary64)))
accuracy	0.0	(/.f64 (neg.f64 b) a)
accuracy	0.0	(neg.f64 b)
accuracy	39.92190701272892	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.08984375	(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
accuracy	1.2031250000000002	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	16.230510962996203	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
accuracy	24.134406968777864	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))

Samples

102.0ms	87×	2	valid
48.0ms	65×	1	valid
23.0ms	86×	0	valid
18.0ms	18×	3	valid

Compiler

Compiled 380 to 42 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 46.0ms (38.4% of total)

adjust: 30.0ms (25.1% of total)

ival-div: 17.0ms (14.2% of total)

ival-add: 9.0ms (7.5% of total)

ival-sub: 8.0ms (6.7% of total)

ival-sqrt: 7.0ms (5.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory

10.9MiB live, 55.9MiB allocated

Counts

22 → 196

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	((+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* (* b a) 2) (* b a) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a) (- (+ (* (* c a) 4) (* b b)) (* b b)) (/ (- (+ (* (* c a) 4) (* b b)) (* b b)) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (* c a) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
4.0ms	a	@	-inf	((+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* (* b a) 2) (* b a) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a) (- (+ (* (* c a) 4) (* b b)) (* b b)) (/ (- (+ (* (* c a) 4) (* b b)) (* b b)) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (* c a) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
4.0ms	b	@	inf	((+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* (* b a) 2) (* b a) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a) (- (+ (* (* c a) 4) (* b b)) (* b b)) (/ (- (+ (* (* c a) 4) (* b b)) (* b b)) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (* c a) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
4.0ms	c	@	-inf	((+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* (* b a) 2) (* b a) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a) (- (+ (* (* c a) 4) (* b b)) (* b b)) (/ (- (+ (* (* c a) 4) (* b b)) (* b b)) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (* c a) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
4.0ms	b	@	0	((+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* (* b a) 2) (* b a) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (/ b -2) (* -2 a) (- (+ (* (* c a) 4) (* b b)) (* b b)) (/ (- (+ (* (* c a) 4) (* b b)) (* b b)) (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a))) (+ (* (* c a) 4) (* b b)) (* c a) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify200.0ms (2.6%)

Memory

-19.2MiB live, 171.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1052	5909
1	3876	5865
0	8259	5571

Stop Event

1×	iter limit
1×	node limit

Counts

196 → 195

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (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 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -1/2 (/ b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a)) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(.f64 (fma.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (.f64 #s(literal 2 binary64) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (.f64 (/.f64 c b) #s(literal -2 binary64))) a (.f64 #s(literal 2 binary64) b)) a)
(* a b)
(*.f64 b a)
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(* 4 (* a c))
(.f64 (.f64 #s(literal 4 binary64) a) c)
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* 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)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)) (fma.f64 (.f64 b (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal 1/8 binary64) (/.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 c b)) a (neg.f64 b)) a)
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))
(* a c)
(*.f64 a c)
(* 2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -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))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64))))
(+ (* -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)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/32 binary64) (.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64)))))
(* (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 (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) 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)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* 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 (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(* -4 (* a c))
(.f64 (.f64 #s(literal -4 binary64) a) c)
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a)
(* (sqrt (* (pow a 3) c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64)))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 a a))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
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(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 b b) #s(literal -4 binary64)))) c) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (.f64 b (/.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 b b) #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 (.f64 c c) (.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (neg.f64 (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 b b) #s(literal -4 binary64))) #s(literal -2 binary64) (fma.f64 (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 #s(literal 1/2 binary64) (/.f64 b a)))))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (-.f64 (/.f64 b c) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64) (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* 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)))))
(.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/8 binary64) (/.f64 b c)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -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 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) 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 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* -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))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64)))))
(* -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)))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))
(* -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))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal 2 binary64) (*.f64 (neg.f64 a) (/.f64 b c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 b a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 b a (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) c) a) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c)))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(.f64 (neg.f64 c) (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))

rewrite193.0ms (2.5%)

Memory

2.2MiB live, 193.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	292
0	83	287
1	304	271
2	2288	271
0	8613	265

Stop Event

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

Counts

22 → 542

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) #s(literal -2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) a)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 b #s(literal -2 binary64)) a (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) a) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal -2 binary64)))) (neg.f64 a))
(/.f64 (neg.f64 (+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))) (*.f64 #s(literal -2 binary64) a))
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(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))))
(-.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 #s(literal -2 binary64) a))) (/.f64 (.f64 b b) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 #s(literal -2 binary64) a))) (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 #s(literal -2 binary64) a))) (/.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) c) a (.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (*.f64 (neg.f64 b) b))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (*.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) c) a (.f64 (neg.f64 b) b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 a c)) b) b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) c) a (.f64 (neg.f64 b) b)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 a c)) b) b))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 #s(literal 4 binary64) (.f64 a c)))
(fma.f64 (.f64 #s(literal 4 binary64) c) a (.f64 b b))
(fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 #s(literal 4 binary64) (.f64 a c)))
(fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))
(fma.f64 (.f64 a c) #s(literal 4 binary64) (.f64 b b))
(fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))
(fma.f64 c (.f64 #s(literal 4 binary64) a) (.f64 b b))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) c) a (.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) c) a (.f64 (neg.f64 b) b))))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (*.f64 (neg.f64 b) b))
(-.f64 (.f64 b b) (.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c))
(-.f64 (.f64 b b) (.f64 (neg.f64 (*.f64 a c)) #s(literal 4 binary64)))
(-.f64 (.f64 b b) (.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a)))
(-.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
(+.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 a c)
(*.f64 c a)
(.f64 (fabs.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))))) (fabs.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))))))
(.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))))))
(.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))))
(pow.f64 (.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1 binary64))
#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))
(sqrt.f64 (.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))))
(exp.f64 (fma.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (neg.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
(-.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)) (/.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (/.f64 (pow.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
(-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))

eval125.0ms (1.6%)

Memory: -4.0MiB live, 179.2MiB allocated
Compiler: Compiled 38 363 to 3 650 computations (90.5% saved)

prune26.0ms (0.3%)

Memory

6.3MiB live, 63.2MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	913	5	918
Fresh	4	5	9
Picked	3	2	5
Done	0	4	4
Total	920	16	936

Accuracy

90.7%

Counts

936 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.3%	(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) #s(literal -2 binary64))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)) (.f64 a (.f64 (neg.f64 b) b))) (.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 #s(literal -2 binary64) a))))
▶	20.8%	(/.f64 (fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
▶	44.6%	(/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
✓	52.5%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	31.2%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
	39.1%	(/.f64 #s(approx (- (+ (* (* c a) 4) (* b b)) (* b b)) (.f64 (.f64 #s(literal 4 binary64) a) c)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
✓	27.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
▶	27.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
✓	22.8%	(/.f64 #s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 a (.f64 #s(literal -2 binary64) a)))
▶	31.3%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
✓	37.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) (.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (.f64 b b)) (/.f64 #s(literal 1 binary64) c)))) b) c (/.f64 (neg.f64 b) a)))
▶	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
✓	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	33.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	37.6%	#s(approx (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))

Compiler

Compiled 806 to 529 computations (34.4% saved)

simplify168.0ms (2.2%)

Memory

24.8MiB live, 160.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -1/2 binary64) b)
cost-diff	0	#s(approx (/ b -2) (*.f64 #s(literal -1/2 binary64) b))
cost-diff	2	(fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))
cost-diff	6	(/.f64 (fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
cost-diff	0	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))
cost-diff	0	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))
cost-diff	0	(/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (*.f64 #s(literal -2 binary64) a))
cost-diff	4	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
cost-diff	0	(*.f64 a (/.f64 #s(literal -2 binary64) b))
cost-diff	0	(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
cost-diff	0	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
cost-diff	0	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(/.f64 c b)
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
cost-diff	1	(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
cost-diff	0	(*.f64 a c)
cost-diff	0	(/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
cost-diff	1	(fma.f64 #s(literal 4 binary64) (*.f64 a c) #s(literal 0 binary64))
cost-diff	6	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	438
0	92	419
1	175	413
2	423	399
3	1334	397
4	5667	397
0	8765	395

Stop Event

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

Calls

Call 1

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

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

localize270.0ms (3.5%)

Memory

15.7MiB live, 341.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	17.480152829451985	(fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))
accuracy	24.134406968777864	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))
accuracy	30.023798086624183	(/.f64 (fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
accuracy	39.35676691938138	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))
accuracy	0.08984375	(/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (*.f64 #s(literal -2 binary64) a))
accuracy	16.230510962996203	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
accuracy	24.134406968777864	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))
accuracy	39.35676691938138	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))
accuracy	0.203125	(*.f64 a (/.f64 #s(literal -2 binary64) b))
accuracy	2.3398077246919238	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy	2.9887263377967423	(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
accuracy	42.592193576629874	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
accuracy	0.0	(/.f64 c b)
accuracy	0.0	(/.f64 b a)
accuracy	0.0078125	(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
accuracy	39.90735835975812	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
accuracy	3.567849702710909	(/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
accuracy	14.222701149022532	(-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
accuracy	15.720633680674855	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) a))
accuracy	24.134406968777864	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))

Samples

93.0ms	87×	2	valid
54.0ms	65×	1	valid
35.0ms	86×	0	valid
20.0ms	18×	3	valid

Compiler

Compiled 359 to 53 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 54.0ms (37.2% of total)

adjust: 31.0ms (21.4% of total)

ival-div: 25.0ms (17.2% of total)

ival-add: 12.0ms (8.3% of total)

ival-sub: 11.0ms (7.6% of total)

ival-sqrt: 10.0ms (6.9% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series54.0ms (0.7%)

Memory

-5.4MiB live, 39.6MiB allocated

Counts

24 → 224

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	a	@	0	((/ (+ (* 4 (* a c)) 0) (* -2 a)) (+ (* 4 (* a c)) 0) (/ (/ (+ (* 4 (* a c)) 0) (* -2 a)) (- b (sqrt (+ (* (* a c) -4) (* b b))))) (* a c) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ c b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b -2) (* -1/2 b) (sqrt (+ (* (* a c) -4) (* b b))) (- b (sqrt (+ (* (* a c) -4) (* b b)))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
3.0ms	c	@	-inf	((/ (+ (* 4 (* a c)) 0) (* -2 a)) (+ (* 4 (* a c)) 0) (/ (/ (+ (* 4 (* a c)) 0) (* -2 a)) (- b (sqrt (+ (* (* a c) -4) (* b b))))) (* a c) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ c b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b -2) (* -1/2 b) (sqrt (+ (* (* a c) -4) (* b b))) (- b (sqrt (+ (* (* a c) -4) (* b b)))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
3.0ms	b	@	-inf	((/ (+ (* 4 (* a c)) 0) (* -2 a)) (+ (* 4 (* a c)) 0) (/ (/ (+ (* 4 (* a c)) 0) (* -2 a)) (- b (sqrt (+ (* (* a c) -4) (* b b))))) (* a c) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ c b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b -2) (* -1/2 b) (sqrt (+ (* (* a c) -4) (* b b))) (- b (sqrt (+ (* (* a c) -4) (* b b)))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
3.0ms	a	@	-inf	((/ (+ (* 4 (* a c)) 0) (* -2 a)) (+ (* 4 (* a c)) 0) (/ (/ (+ (* 4 (* a c)) 0) (* -2 a)) (- b (sqrt (+ (* (* a c) -4) (* b b))))) (* a c) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ c b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b -2) (* -1/2 b) (sqrt (+ (* (* a c) -4) (* b b))) (- b (sqrt (+ (* (* a c) -4) (* b b)))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))
2.0ms	a	@	inf	((/ (+ (* 4 (* a c)) 0) (* -2 a)) (+ (* 4 (* a c)) 0) (/ (/ (+ (* 4 (* a c)) 0) (* -2 a)) (- b (sqrt (+ (* (* a c) -4) (* b b))))) (* a c) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ c b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (/ b -2) (* -1/2 b) (sqrt (+ (* (* a c) -4) (* b b))) (- b (sqrt (+ (* (* a c) -4) (* b b)))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))

simplify184.0ms (2.4%)

Memory

7.9MiB live, 192.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1109	6686
1	4020	6642
0	8533	6326

Stop Event

1×	iter limit
1×	node limit

Counts

224 → 223

Calls

Call 1

Inputs
(* -2 c)
(* 4 (* a c))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* 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)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(* a c)
(/ (+ (* -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)
(/ b a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* -2 (/ a b))
(* -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)
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 (* a b))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(* 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))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -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))))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 2 (/ (+ (* -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)))))) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(* -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)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* 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)))))
(+ (* -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 (* 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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (sqrt (* (pow a 3) c)) (sqrt -4))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* (pow a 2) (+ (* -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)))))
(* 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)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ 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)))))))))) a)) (* 2 (+ (* -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)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* (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)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(* 1/2 (/ b a))
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(* -1 b)
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(* 2 b)
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(* -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 (* 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))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) 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))))))

Outputs
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* 4 (* a c))
(.f64 (.f64 #s(literal 4 binary64) a) c)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* 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)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)) (fma.f64 (.f64 b (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal 1/8 binary64) (/.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 c b)) a (neg.f64 b)) a)
(* a c)
(*.f64 c a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (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 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(/ b a)
(/.f64 b a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 c a) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 c b))) a (.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 c a) b) #s(literal -2 binary64))
(* -2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(* -1/2 (/ b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 c a) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (.f64 #s(literal -1/2 binary64) b)) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(.f64 (fma.f64 (/.f64 (.f64 c a) b) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (.f64 #s(literal 2 binary64) b)) a)
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -2 binary64))) a (.f64 #s(literal 2 binary64) b)) a)
(* 2 (/ (* a c) b))
(.f64 (/.f64 (.f64 c a) b) #s(literal 2 binary64))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -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))))) a)
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64)))) a))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 2 (/ (+ (* -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)))))) a)
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 b b) #s(literal -4 binary64))) a) (/.f64 (fma.f64 (.f64 b (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 b b) #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)) (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (.f64 (*.f64 a a) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)))) (pow.f64 a #s(literal 3 binary64)))))) a)
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (.f64 c a)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 (-.f64 (/.f64 (neg.f64 b) a) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a)
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) 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)))))
(.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a)
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)))
(+ (* -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))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64))))
(+ (* -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)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/32 binary64) (.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64)))))
(* (sqrt (* a c)) (sqrt -4))
(.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)))) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) 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)))))
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(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal 2 binary64) (*.f64 a (/.f64 (neg.f64 b) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 b a)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 b a (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))

rewrite260.0ms (3.4%)

Memory

-79.7MiB live, 253.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	341
0	92	323
1	319	317
2	2264	317
0	8752	315

Stop Event

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

Counts

24 → 626

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 a #s(literal 4 binary64)) #s(literal -2 binary64)) (/.f64 c a))
(.f64 (/.f64 (.f64 a #s(literal 4 binary64)) a) (/.f64 c #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 c a) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) a))
(.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 (.f64 c a) #s(literal -2 binary64)))
(.f64 (.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 #s(literal -2 binary64) a)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) a))
(.f64 (.f64 c a) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) a)))
(.f64 #s(literal 4 binary64) (/.f64 (.f64 c a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) a)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 c a) a) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 c a) #s(literal -2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 c a) #s(literal -2 binary64)))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a #s(literal 0 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) a))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 0 binary64)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) #s(literal 0 binary64)))) (neg.f64 (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) a) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 c a) a) #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (.f64 (.f64 c a) #s(literal -2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 (.f64 c a) #s(literal -2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 (.f64 c a) #s(literal -2 binary64))) a)
(/.f64 (fma.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a #s(literal 0 binary64))) (.f64 (.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) #s(literal 0 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) (neg.f64 a))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) a)
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (.f64 #s(literal -2 binary64) a)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (neg.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) a))))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) a)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (*.f64 #s(literal -2 binary64) a))
(neg.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))
(fma.f64 (/.f64 (*.f64 a #s(literal 4 binary64)) #s(literal -2 binary64)) (/.f64 c a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal 4 binary64)) a) (/.f64 c #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c a) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 (*.f64 c a) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 a #s(literal 4 binary64)) (/.f64 c (.f64 #s(literal -2 binary64) a)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) a) #s(literal 0 binary64))
(fma.f64 (.f64 c a) (/.f64 #s(literal -4 binary64) (.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 c a) (.f64 #s(literal -2 binary64) a)) #s(literal 0 binary64))
(+.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 4 binary64) c) a)
(.f64 (neg.f64 (.f64 a #s(literal 4 binary64))) c)
(.f64 (neg.f64 (.f64 c a)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -4 binary64) c) a)
(.f64 (.f64 a #s(literal 4 binary64)) (neg.f64 c))
(.f64 (.f64 a #s(literal 4 binary64)) c)
(.f64 (.f64 #s(literal -4 binary64) a) c)
(.f64 #s(literal -4 binary64) (.f64 c a))
(.f64 (.f64 c a) #s(literal -4 binary64))
(.f64 (.f64 c a) #s(literal 4 binary64))
(.f64 c (.f64 a #s(literal 4 binary64)))
(.f64 c (.f64 #s(literal -4 binary64) a))
(.f64 a (.f64 c #s(literal 4 binary64)))
(.f64 a (.f64 #s(literal -4 binary64) c))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 c a)))
(.f64 #s(literal 4 binary64) (.f64 c a))
(pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -4 binary64) a) c))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -4 binary64) a) c))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 5 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) #s(literal 0 binary64))) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 5 binary64)) (.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -4 binary64) a) c))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -4 binary64) a) c))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -4 binary64) a) c))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))
(neg.f64 (.f64 (.f64 #s(literal -4 binary64) a) c))
(fma.f64 (.f64 #s(literal 4 binary64) c) a (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) c) a #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 a #s(literal 4 binary64))) c (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 c a)) #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))
(fma.f64 (.f64 a #s(literal 4 binary64)) (neg.f64 c) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (*.f64 a #s(literal 4 binary64)) (neg.f64 c) #s(literal 0 binary64))
(fma.f64 (.f64 a #s(literal 4 binary64)) c (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (*.f64 a #s(literal 4 binary64)) c #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c #s(literal 0 binary64))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) #s(literal 0 binary64))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 c a) #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 (*.f64 c a) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 c (.f64 a #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))))
(fma.f64 c (*.f64 a #s(literal 4 binary64)) #s(literal 0 binary64))
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(exp.f64 (.f64 (.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (neg.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64)))

eval99.0ms (1.3%)

Memory: 30.2MiB live, 168.4MiB allocated
Compiler: Compiled 34 669 to 3 307 computations (90.5% saved)

prune28.0ms (0.4%)

Memory

6.6MiB live, 52.1MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	824	7	831
Fresh	4	1	5
Picked	3	2	5
Done	0	6	6
Total	831	16	847

Accuracy

90.7%

Counts

847 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	31.2%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) b) (*.f64 #s(literal -2 binary64) a))
	47.4%	(/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
✓	27.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
✓	27.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
✓	22.8%	(/.f64 #s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 a (.f64 #s(literal -2 binary64) a)))
✓	31.3%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	37.6%	#s(approx (/ (/ (+ (* 4 (* a c)) 0) (* -2 a)) (- b (sqrt (+ (* (* a c) -4) (* b b))))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
✓	37.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) (.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (.f64 b b)) (/.f64 #s(literal 1 binary64) c)))) b) c (/.f64 (neg.f64 b) a)))
	24.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) b) b (.f64 c a)) (*.f64 a b)))
✓	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	33.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	37.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))))
	25.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b)))
	9.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b)))

Compiler

Compiled 1 487 to 552 computations (62.9% saved)

regimes71.0ms (0.9%)

Memory

1.4MiB live, 48.1MiB allocated

Counts

35 → 4

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	b
9.0ms	c
9.0ms	a
8.0ms	(/.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
75.4%	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))`
56.1%	3	`a`
88.9%	4	`b`
54.3%	2	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

22 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
88.9%	4	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

-33.7MiB live, 9.9MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.7%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
80.9%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	b
3.0ms	(/.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%	3	`(/.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))`
68.7%	2	`b`

Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.5%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

1.0ms	a
1.0ms	c
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
33.4%	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))`
33.4%	1	`c`
33.4%	1	`a`
33.4%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes19.0ms (0.2%)

Memory

-44.3MiB live, 10.6MiB 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 a) -1) (/ c b)) (/.f64 c b)))

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

Calls

4 calls:

15.0ms	b
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))
1.0ms	a

Results

Accuracy	Segments	Branch
9.2%	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))`
9.2%	1	`b`
9.2%	1	`c`
9.2%	1	`a`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch220.0ms (2.9%)

Memory

29.8MiB live, 74.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.625806839886196e+121	5.761175535798326e+132
163.0ms	8.95913033319639e-255	1.6577565153186304e-227
28.0ms	-1.8849666768449931e+115	-1.4197922627483077e+112

Samples

141.0ms	89×	0	invalid
28.0ms	359×	0	valid
11.0ms	50×	2	valid
7.0ms	43×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 1 328 to 1 056 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-sqrt: 139.0ms (80.5% of total)

ival-mult: 15.0ms (8.7% of total)

ival-sub: 6.0ms (3.5% of total)

ival-div: 5.0ms (2.9% of total)

adjust: 5.0ms (2.9% of total)

ival-neg: 3.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.625806839886196e+121	5.761175535798326e+132
1.0ms	8.95913033319639e-255	1.6577565153186304e-227
1.0ms	-1.8849666768449931e+115	-1.4197922627483077e+112

Compiler

Compiled 1 244 to 1 035 computations (16.8% saved)

bsearch22.0ms (0.3%)

Memory

-19.2MiB live, 23.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.305560483954079e-106	2.447859465579844e-105
1.0ms	-1.8849666768449931e+115	-1.4197922627483077e+112

Samples

12.0ms	96×	0	valid
2.0ms	24×	0	invalid

Compiler

Compiled 730 to 592 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (64.4% of total)

ival-div: 1.0ms (9.2% of total)

ival-sub: 1.0ms (9.2% of total)

ival-sqrt: 1.0ms (9.2% of total)

ival-neg: 1.0ms (9.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch233.0ms (3.1%)

Memory

-12.0MiB live, 90.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.174581276885864e-84	1.581447038863224e-80
70.0ms	-2.0423572973960617e-103	-3.013750570938582e-133

Samples

43.0ms	21×	2	valid
20.0ms	252×	0	valid
7.0ms	82×	0	invalid
5.0ms	31×	1	valid

Compiler

Compiled 888 to 720 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 41.0ms (65.5% of total)

ival-mult: 10.0ms (16% of total)

ival-sub: 4.0ms (6.4% of total)

ival-sqrt: 3.0ms (4.8% of total)

adjust: 2.0ms (3.2% of total)

ival-neg: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch54.0ms (0.7%)

Memory

7.2MiB live, 51.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-5.5128385864757015e-295	2.0330735774678057e-300

Samples

14.0ms	176×	0	valid
7.0ms	93×	0	invalid

Compiler

Compiled 548 to 438 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (43.3% of total)

ival-div: 2.0ms (14.4% of total)

ival-sub: 2.0ms (14.4% of total)

ival-sqrt: 2.0ms (14.4% of total)

ival-neg: 1.0ms (7.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Memory

7.5MiB live, 50.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-4.084663416783726e-289	-5.5128385864757015e-295

Samples

14.0ms	144×	0	valid
4.0ms	51×	0	invalid

Compiler

Compiled 416 to 344 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (60.2% of total)

ival-sub: 2.0ms (15% of total)

ival-div: 1.0ms (7.5% of total)

ival-sqrt: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify50.0ms (0.7%)

Memory

41.4MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	505
1	142	504
2	283	504
3	621	497
4	1252	491
5	2692	491

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -2200000000000000034230715484827054653390043073226335153413495276947834318562462547182967857813104384887653817909248 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5547092576924485/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336 binary64)) (/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (if (<=.f64 b #s(literal 309999999999999998961447073669863267441676624227768257430752202296171976944077793514661196027388474481522327803916676235264 binary64)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b #s(literal -2200000000000000034230715484827054653390043073226335153413495276947834318562462547182967857813104384887653817909248 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5547092576924485/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336 binary64)) (/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (if (<=.f64 b #s(literal 309999999999999998961447073669863267441676624227768257430752202296171976944077793514661196027388474481522327803916676235264 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b #s(literal -2200000000000000034230715484827054653390043073226335153413495276947834318562462547182967857813104384887653817909248 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1355681185995627/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2776783146697183/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -1610733048836635/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b)))

Outputs
(if (<=.f64 b #s(literal -2200000000000000034230715484827054653390043073226335153413495276947834318562462547182967857813104384887653817909248 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5547092576924485/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336 binary64)) (/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (if (<=.f64 b #s(literal 309999999999999998961447073669863267441676624227768257430752202296171976944077793514661196027388474481522327803916676235264 binary64)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b #s(literal -2200000000000000034230715484827054653390043073226335153413495276947834318562462547182967857813104384887653817909248 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 5547092576924485/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336 binary64)) (/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (if (<=.f64 b #s(literal 309999999999999998961447073669863267441676624227768257430752202296171976944077793514661196027388474481522327803916676235264 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b #s(literal -2200000000000000034230715484827054653390043073226335153413495276947834318562462547182967857813104384887653817909248 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1355681185995627/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -2200000000000000034230715484827054653390043073226335153413495276947834318562462547182967857813104384887653817909248 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1355681185995627/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (/.f64 #s(approx (/ (+ (* 4 (* a c)) 0) (* -2 a)) (.f64 #s(literal -2 binary64) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2776783146697183/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2776783146697183/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1610733048836635/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b)))

derivations934.0ms (12.3%)

Memory

-8.8MiB live, 522.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	73	51
2	493	50
3	6058	50
0	8175	46
0	545	2723
1	1785	2702
2	7277	2702
0	8059	2563
0	58	341
0	92	323
1	319	317
2	2264	317
0	8752	315
0	1109	6686
1	4020	6642
0	8533	6326
0	54	292
0	83	287
1	304	271
2	2288	271
0	8613	265
0	854	4897
1	3046	4819
0	8610	4574

Stop Event

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

Compiler

Compiled 511 to 91 computations (82.2% saved)

preprocess162.0ms (2.1%)

Memory: -31.8MiB live, 160.1MiB allocated
Compiler: Compiled 1 266 to 266 computations (79% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

start0.0ms (0%)

analyze158.0ms (2.1%)

sample1.8s (23.5%)

explain204.0ms (2.7%)

preprocess46.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.1%)

localize53.0ms (0.7%)

series21.0ms (0.3%)

simplify183.0ms (2.4%)

rewrite191.0ms (2.5%)

eval87.0ms (1.1%)

prune13.0ms (0.2%)

simplify211.0ms (2.8%)

localize166.0ms (2.2%)

series45.0ms (0.6%)

simplify191.0ms (2.5%)

rewrite206.0ms (2.7%)

eval123.0ms (1.6%)

prune46.0ms (0.6%)

simplify162.0ms (2.1%)

localize227.0ms (3%)

series42.0ms (0.6%)

simplify200.0ms (2.6%)

rewrite193.0ms (2.5%)

eval125.0ms (1.6%)

prune26.0ms (0.3%)

simplify168.0ms (2.2%)

localize270.0ms (3.5%)

series54.0ms (0.7%)

simplify184.0ms (2.4%)

rewrite260.0ms (3.4%)

eval99.0ms (1.3%)

prune28.0ms (0.4%)

regimes71.0ms (0.9%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes19.0ms (0.2%)

bsearch220.0ms (2.9%)

bsearch4.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch233.0ms (3.1%)

bsearch54.0ms (0.7%)

bsearch28.0ms (0.4%)

simplify50.0ms (0.7%)

derivations934.0ms (12.3%)

preprocess162.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66