Metrics for quadm (p42, negative)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze156.0ms (1.9%)

Memory

6.9MiB live, 187.9MiB 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)

sample1.9s (22.8%)

Memory

24.3MiB live, 1 715.2MiB allocated

Samples

595.0ms	5 532×	0	valid
293.0ms	1 172×	2	valid
278.0ms	1 386×	1	valid
136.0ms	946×	0	invalid
53.0ms	166×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 885.0ms

ival-mult: 265.0ms (29.9% of total)

ival-sub: 207.0ms (23.4% of total)

ival-sqrt: 124.0ms (14% of total)

ival-div: 120.0ms (13.6% of total)

adjust: 104.0ms (11.7% of total)

ival-neg: 46.0ms (5.2% of total)

exact: 9.0ms (1% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain256.0ms (3.1%)

Memory

3.0MiB live, 202.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	1	(-4.6847349877647954e-51 2.365517085916363e-292 5.728628827720239e-264)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
52	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
16	-	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))`
3	-	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	106	0
↳	`(*.f64 b b)`	overflow	89
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	26
↳	`(*.f64 a c)`	overflow	26
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	106
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	52	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	16	0
↳	`(*.f64 b b)`	underflow	42
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	34
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	29
↳	`(*.f64 a c)`	underflow	29
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	4	0
↳	`(*.f64 b b)`	underflow	42
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	29
↳	`(*.f64 a c)`	underflow	29
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	4
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	89
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	26
↳	`(*.f64 a c)`	overflow	26

Confusion

	Predicted +	Predicted -
+	133	1
-	17	105

Precision

0.8866666666666667

Recall

0.9925373134328358

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	1
-	17	0	105

Precision?

0.8866666666666667

Recall?

0.9925373134328358

Freqs

test

number	freq
0	106
1	121
2	27
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms	344×	0	valid
18.0ms	84×	2	valid
10.0ms	64×	1	valid
6.0ms	20×	3	valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 56.0ms (66.5% of total)

ival-sub: 8.0ms (9.5% of total)

ival-sqrt: 6.0ms (7.1% of total)

adjust: 5.0ms (5.9% of total)

ival-div: 5.0ms (5.9% of total)

ival-neg: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

preprocess40.0ms (0.5%)

Memory

-24.8MiB live, 21.6MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify11.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)

localize41.0ms (0.5%)

Memory

33.3MiB live, 33.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.6054687500000001	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	3.842089866067143	(/.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	12.03181311803895	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	25.763415571126153	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

15.0ms	172×	0	valid
9.0ms	42×	2	valid
5.0ms	32×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 6.0ms (31% of total)

ival-sub: 4.0ms (20.7% of total)

ival-div: 3.0ms (15.5% of total)

ival-sqrt: 3.0ms (15.5% of total)

adjust: 2.0ms (10.3% of total)

ival-neg: 1.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory

-29.7MiB live, 16.4MiB 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
31.0ms	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)))))
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	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	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)))))

simplify234.0ms (2.8%)

Memory

13.1MiB live, 105.3MiB 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)))))))

rewrite161.0ms (2%)

Memory

6.4MiB live, 96.7MiB 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)))))

eval46.0ms (0.6%)

Memory: 2.2MiB live, 46.9MiB allocated
Compiler: Compiled 13 820 to 1 736 computations (87.4% saved)

prune14.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	350	15	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	351	15	366

Accuracy

91.3%

Counts

366 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(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)))
▶	31.7%	(/.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)))
	24.3%	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
	29.8%	(/.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))
	25.7%	(/.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)))
▶	50.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
▶	34.3%	(/.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))
▶	23.8%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	50.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	28.2%	(/.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))
	18.2%	(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
	32.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	32.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	35.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.6%	#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 722 to 490 computations (32.1% saved)

simplify93.0ms (1.1%)

Memory

-36.5MiB live, 62.9MiB 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	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))))
cost-diff	0	(/.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))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.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	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
cost-diff	1	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	350
0	72	333
1	136	332
2	305	330
3	902	325
4	3435	325
0	8111	325

Stop Event

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

Calls

Call 1

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

localize123.0ms (1.5%)

Memory

30.2MiB live, 170.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.611660009768442	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	19.977531386805364	(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	25.763415571126153	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	29.290758377664876	(/.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	3.842089866067143	(/.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))
accuracy	12.03181311803895	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))))
accuracy	25.763415571126153	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64))))
accuracy	38.76500142220561	#s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))
accuracy	3.842089866067143	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
accuracy	12.03181311803895	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))))
accuracy	21.041140366635535	#s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b))
accuracy	25.763415571126153	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))
accuracy	0.0	(/.f64 c (neg.f64 b))
accuracy	0.0	(neg.f64 b)
accuracy	41.49469403069444	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	0.0078125	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
accuracy	3.842089866067143	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy	12.03181311803895	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
accuracy	25.763415571126153	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

42.0ms	172×	0	valid
23.0ms	23×	3	valid
18.0ms	32×	2	valid
12.0ms	29×	1	valid

Compiler

Compiled 318 to 37 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 22.0ms (34% of total)

ival-div: 11.0ms (17% of total)

ival-add: 8.0ms (12.4% of total)

ival-sqrt: 8.0ms (12.4% of total)

adjust: 7.0ms (10.8% of total)

ival-sub: 5.0ms (7.7% of total)

ival-neg: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-9.6MiB live, 36.5MiB allocated

Counts

21 → 140

Calls

Call 1

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

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))
(- (* 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))))))))
(* 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)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -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))))))
(* (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)))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (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))))))))
(* -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 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 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)))))))))
(* -1 (/ c 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)
(- (pow b 2) (* 4 (* a c)))
(* 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)))))))
(* 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)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -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 (* -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))))
(- (* 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))))))))
(+ (* -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 (- (* -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))))))
(* 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 (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (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))))))))
(* -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 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ 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 c) a) (* b b)) (- (* b b) (* 4 (* a c))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)))
2.0ms	b	@	inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ 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 c) a) (* b b)) (- (* b b) (* 4 (* a c))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)))
2.0ms	c	@	inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ 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 c) a) (* b b)) (- (* b b) (* 4 (* a c))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)))
2.0ms	b	@	-inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ 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 c) a) (* b b)) (- (* b b) (* 4 (* a c))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)))
2.0ms	c	@	-inf	((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (* (/ 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 c) a) (* b b)) (- (* b b) (* 4 (* a c))) (- (* b b) (* 4 (* a c))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)))

simplify206.0ms (2.5%)

Memory

-20.5MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	715	3754
1	2475	3683
0	9006	3497

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 139

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))
(- (* 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))))))))
(* 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)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -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))))))
(* (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)))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (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))))))))
(* -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 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 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)))))))))
(* -1 (/ c 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)
(- (pow b 2) (* 4 (* a c)))
(* 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)))))))
(* 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)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -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 (* -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))))
(- (* 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))))))))
(+ (* -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 (- (* -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))))))
(* 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 (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (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))))))))
(* -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 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))

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

rewrite195.0ms (2.4%)

Memory

29.6MiB live, 253.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	276
0	72	267
1	254	265
2	1485	265
0	8167	263

Stop Event

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

Counts

21 → 743

Calls

Call 1

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

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

eval141.0ms (1.7%)

Memory: -10.6MiB live, 132.3MiB allocated
Compiler: Compiled 32 447 to 3 073 computations (90.5% saved)

prune44.0ms (0.5%)

Memory

12.4MiB live, 59.8MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	760	14	774
Fresh	1	9	10
Picked	2	3	5
Done	0	0	0
Total	763	26	789

Accuracy

91.3%

Counts

789 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(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)))
	17.9%	(/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) a) a) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) a) a)) (.f64 (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) b))) (.f64 (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) (.f64 (*.f64 #s(literal -2 binary64) a) a))))
	24.3%	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
▶	31.7%	(/.f64 (fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.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)))
▶	29.8%	(/.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))
	33.4%	(/.f64 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
	25.7%	(/.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)))
	1.5%	(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)) #s(literal 3/2 binary64))) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)))
	28.2%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (+.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))
✓	50.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
	20.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
✓	34.3%	(/.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))
	44.9%	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
▶	50.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	28.2%	(/.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))
▶	27.7%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
	21.3%	(/.f64 #s(approx (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 a b) #s(literal 2 binary64))) (.f64 a (.f64 #s(literal -2 binary64) a)))
	1.4%	(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))) (/.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))))
	33.6%	(.f64 (/.f64 a (.f64 a a)) (/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) #s(literal -2 binary64)))
	32.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
▶	32.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	35.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.6%	#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))
	31.2%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
	17.0%	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b)))
	9.2%	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a))))

Compiler

Compiled 1 589 to 916 computations (42.4% saved)

simplify157.0ms (1.9%)

Memory

-14.9MiB live, 125.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.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)))))
cost-diff	2	(/.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))
cost-diff	7	(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
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 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
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 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 a (*.f64 #s(literal -2 binary64) a)))
cost-diff	0	(/.f64 (*.f64 a c) b)
cost-diff	0	(.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))
cost-diff	0	#s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b)))
cost-diff	0	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.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))) 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: 0 (0.0ms)

Iter	Nodes	Cost
0	49	372
0	76	369
1	148	367
2	370	348
3	1374	338
4	5566	338
0	8642	336

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

localize231.0ms (2.8%)

Memory

37.1MiB live, 230.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	12.584273392467924	(/.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)))))
accuracy	13.889484465437658	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	25.763415571126153	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	38.39019718330035	(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	0.611660009768442	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	19.977531386805364	(fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
accuracy	25.763415571126153	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	29.290758377664876	(/.f64 (fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.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	0.00390625	(.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))
accuracy	3.842089866067143	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
accuracy	5.033464609630379	(/.f64 (*.f64 a c) b)
accuracy	41.48816966330993	#s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b)))
accuracy	0.0	(/.f64 (neg.f64 b) a)
accuracy	0.0	(neg.f64 b)
accuracy	43.26918557057302	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.611660009768442	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	3.842089866067143	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	12.03181311803895	(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
accuracy	25.763415571126153	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))

Samples

64.0ms	95×	0	valid
54.0ms	29×	3	valid
45.0ms	64×	2	valid
35.0ms	68×	1	valid

Compiler

Compiled 363 to 47 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 61.0ms (45.4% of total)

ival-div: 23.0ms (17.1% of total)

adjust: 17.0ms (12.7% of total)

ival-sub: 11.0ms (8.2% of total)

ival-add: 11.0ms (8.2% of total)

ival-sqrt: 10.0ms (7.4% of total)

exact: 1.0ms (0.7% of total)

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

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

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

series65.0ms (0.8%)

Memory

-30.8MiB live, 66.9MiB allocated

Counts

19 → 250

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 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))
(/.f64 (*.f64 a c) 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 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.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 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
#s(approx (/ b -2) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) b)
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(/.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 (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 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)
(* 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))
(/ (* a c) b)
(* 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)))))))))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(* 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)))))))
(* (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)))))
(* (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 (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
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(* (sqrt (/ c a)) (sqrt -1))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
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(* (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 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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(+ (* (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)
(- (* -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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(+ (* 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)))))
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(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
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(- 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 (+ 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)))))))
(* 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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(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
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(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* -1 (/ 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 (* 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))
(* 1/2 (/ (* 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))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (* 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))))
(+ (* 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))))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(* 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 (+ (* (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)))))
(* 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 (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* 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 (/ 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))))))
(* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) 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	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)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 (/ (* a c) b)) (/ (* a c) 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) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
9.0ms	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)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 (/ (* a c) b)) (/ (* a c) 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) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
8.0ms	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)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 (/ (* a c) b)) (/ (* a c) 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) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms	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)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 (/ (* a c) b)) (/ (* a c) 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) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
6.0ms	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)) (/ (neg b) a) (neg b) (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 (/ (* a c) b)) (/ (* a c) 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) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify196.0ms (2.4%)

Memory

42.4MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1418	9705
1	5234	9518
0	8093	9046

Stop Event

1×	iter limit
1×	node limit

Counts

250 → 249

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))
(/ (* a c) b)
(* 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)))))))))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
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(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
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(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* 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)))))))
(* (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)))))
(* (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 (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* 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)))
(* -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))))))
(* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) 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))))))
(* -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)))))
(+ 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 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 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 (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (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)))
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(* 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)))))))
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
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(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
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(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
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(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
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(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) 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)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) b))
(+ (* 2 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 (*.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 (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))
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 #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 (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 a c) b) #s(literal -2 binary64))
(/ (* a c) b)
(/.f64 (*.f64 a c) 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)
(+ (* -1 (pow b 2)) (pow b 2))
(.f64 #s(literal 0 binary64) (.f64 b b))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(fma.f64 #s(literal 0 binary64) (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 a c)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) #s(literal 1/2 binary64))) a (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) b) (.f64 c c)) #s(literal 1/8 binary64)))) a (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))))) a (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) #s(literal 1/2 binary64))) a (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(.f64 (/.f64 #s(literal 1/2 binary64) c) (.f64 b (.f64 #s(literal 0 binary64) (/.f64 (.f64 b b) a))))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) b (fma.f64 (neg.f64 a) (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b)))) a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) b (fma.f64 (-.f64 (.f64 (neg.f64 a) (fma.f64 (neg.f64 c) (/.f64 (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) b) (.f64 c c)) #s(literal 1/8 binary64))))) (fma.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) a (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b)))) a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))) a)
(* 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))))
(* (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))))
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(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (*.f64 b c))) c))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 (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))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 b c))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))) (.f64 b c))) c))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (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))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 b c)))))) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 b c)) (.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (.f64 b c)))))) c) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal -1/2 binary64) (*.f64 b c)))) 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 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) 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))))))

rewrite229.0ms (2.8%)

Memory

-24.5MiB live, 210.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	264
0	76	261
1	283	259
2	1809	259
0	8141	257

Stop Event

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

Counts

19 → 838

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

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

eval196.0ms (2.4%)

Memory: 13.5MiB live, 326.8MiB allocated
Compiler: Compiled 77 344 to 6 022 computations (92.2% saved)

prune74.0ms (0.9%)

Memory

16.3MiB live, 122.1MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 563	12	1 575
Fresh	5	13	18
Picked	3	2	5
Done	2	1	3
Total	1 573	28	1 601

Accuracy

91.4%

Counts

1 601 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(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)))
	17.9%	(/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) a) (.f64 (.f64 #s(literal -2 binary64) a) a) (.f64 (.f64 #s(literal -2 binary64) a) (.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal -2 binary64) a)))) (.f64 (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) a)))
	47.4%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) a)))
	24.3%	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
	22.2%	(/.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)))
▶	33.4%	(/.f64 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
	41.6%	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal 0 binary64) (.f64 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))))) (.f64 #s(literal 2 binary64) a))
	1.5%	(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)) #s(literal 3/2 binary64))) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)))
	28.2%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (+.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))
	20.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
▶	50.2%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
▶	34.3%	(/.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))
	44.9%	(/.f64 (+.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) b) (*.f64 #s(literal -2 binary64) a))
	28.2%	(/.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))
	29.3%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b))) (*.f64 #s(literal 2 binary64) a))
✓	27.7%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
	21.3%	(/.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)))
	1.4%	(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))) (/.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))))
▶	36.8%	(-.f64 (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))))
	28.7%	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (fma.f64 b b (.f64 (neg.f64 b) b))) (-.f64 (.f64 b b) (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) #s(literal 2 binary64)))
	33.6%	(.f64 (/.f64 a (.f64 a a)) (/.f64 (fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) #s(literal -2 binary64) (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal -2 binary64)))
	32.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
✓	32.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	35.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.6%	#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))
	31.2%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
	17.0%	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b)))
▶	9.2%	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a))))

Compiler

Compiled 1 815 to 1 043 computations (42.5% saved)

simplify179.0ms (2.2%)

Memory

-2.8MiB live, 178.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(-.f64 (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))))
cost-diff	6	(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
cost-diff	8	(-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b))
cost-diff	16	(/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
cost-diff	0	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b)))
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))
cost-diff	0	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))
cost-diff	0	(+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)
cost-diff	0	(/.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))
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a))))
cost-diff	2	(.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a)))
cost-diff	4	(/.f64 #s(literal 0 binary64) (*.f64 a a))
cost-diff	0	(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	541
0	96	456
1	209	448
2	540	434
3	1960	432
4	7194	432
0	9061	432

Stop Event

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

Calls

Call 1

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

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

localize586.0ms (7.1%)

Memory

-93.2MiB live, 337.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	13.889484465437658	(-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b)
accuracy	17.827246271612623	(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
accuracy	21.902221283402465	(-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b))
accuracy	25.763415571126153	(sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))
accuracy	13.889484465437658	(+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))
accuracy	25.763415571126153	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
accuracy	35.47724349247987	(-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
accuracy	38.76500142220561	#s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))
accuracy	3.842089866067143	(/.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))
accuracy	12.03181311803895	(+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)
accuracy	25.763415571126153	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))
accuracy	38.76500142220561	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))
accuracy	0.0	(.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a)))
accuracy	0.0	(*.f64 a a)
accuracy	15.749911934132108	(/.f64 #s(literal 0 binary64) (*.f64 a a))
accuracy	55.22792124545712	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a))))
accuracy	0.0078125	(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
accuracy	3.842089866067143	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	12.03181311803895	(+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b)
accuracy	25.763415571126153	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

403.0ms	125×	1	valid
54.0ms	29×	3	valid
53.0ms	64×	2	valid
12.0ms	38×	0	valid

Compiler

Compiled 475 to 56 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 476.0ms

ival-div: 359.0ms (75.4% of total)

ival-mult: 36.0ms (7.6% of total)

adjust: 35.0ms (7.3% of total)

ival-add: 20.0ms (4.2% of total)

ival-sqrt: 14.0ms (2.9% of total)

ival-sub: 11.0ms (2.3% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series44.0ms (0.5%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

25 → 189

Calls

Call 1

Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(/.f64 #s(literal 0 binary64) (*.f64 a a))
(.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a)))
#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a))))
(*.f64 a 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 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)
(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 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b)))
(-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
(*.f64 b b)
(/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
(-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
(-.f64 (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))))
#s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))
(sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b 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)
(* 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))
0
(pow a 2)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b)))))
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))))))
(* 4 (* a c))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))
(* (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)))))
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(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
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(- (+ (* -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))))))
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))))
(+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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))))))
(+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 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)))
(* -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 (* (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)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c)))
(- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(- (* -1 (/ (- (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) (pow a 2))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* -2 (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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))))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	c	@	-inf	((/ (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ 0 (* a a)) (* b (/ 0 (* a a))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (* a a) (/ (+ (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)) (/ (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (* 2 a)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (* (neg b) b) (* (neg b) b)) (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a)))) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (sqrt (+ (* (* a -4) c) (* b b))) (- (sqrt (+ (* (* a -4) c) (* b b))) b))
6.0ms	c	@	inf	((/ (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ 0 (* a a)) (* b (/ 0 (* a a))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (* a a) (/ (+ (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)) (/ (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (* 2 a)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (* (neg b) b) (* (neg b) b)) (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a)))) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (sqrt (+ (* (* a -4) c) (* b b))) (- (sqrt (+ (* (* a -4) c) (* b b))) b))
4.0ms	a	@	inf	((/ (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ 0 (* a a)) (* b (/ 0 (* a a))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (* a a) (/ (+ (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)) (/ (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (* 2 a)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (* (neg b) b) (* (neg b) b)) (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a)))) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (sqrt (+ (* (* a -4) c) (* b b))) (- (sqrt (+ (* (* a -4) c) (* b b))) b))
4.0ms	a	@	-inf	((/ (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ 0 (* a a)) (* b (/ 0 (* a a))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (* a a) (/ (+ (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)) (/ (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (* 2 a)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (* (neg b) b) (* (neg b) b)) (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a)))) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (sqrt (+ (* (* a -4) c) (* b b))) (- (sqrt (+ (* (* a -4) c) (* b b))) b))
4.0ms	b	@	inf	((/ (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* c -4) a) (* b b))) b) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ 0 (* a a)) (* b (/ 0 (* a a))) (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (* a a) (/ (+ (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)) (/ (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (* 2 a)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (* (neg b) b) (* (neg b) b)) (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (- (/ (* (* a c) -4) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a))) (/ (- (* (neg b) b) (* (neg b) b)) (* (- (sqrt (+ (* (* a -4) c) (* b b))) b) (* -2 a)))) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (sqrt (+ (* (* a -4) c) (* b b))) (- (sqrt (+ (* (* a -4) c) (* b b))) b))

simplify267.0ms (3.2%)

Memory

-30.2MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1067	6124
1	4079	6045
0	9325	5727

Stop Event

1×	iter limit
1×	node limit

Counts

189 → 188

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))
0
(pow a 2)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b)))))
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))))))
(* 4 (* a c))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))
(* (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)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 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 (/ c b))
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(* 2 (/ (* a c) b))
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(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
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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)))))
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(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
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(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
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(* -1 (* 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))))))))
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
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(* c (+ (* -4 a) (/ (pow b 2) c)))
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(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -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 (* (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)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c)))
(- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(- (* -1 (/ (- (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) (pow a 2))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* -2 (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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))))))

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)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 #s(literal 2 binary64) b (.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64)))
(+ (* 2 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 (*.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 (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))
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 a c) #s(literal -4 binary64) (.f64 b b))
0
#s(literal 0 binary64)
(pow a 2)
(*.f64 a a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (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 (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 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 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a c) b) (.f64 #s(literal -2 binary64) b))
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b)))))
(fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 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 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))) a (.f64 #s(literal 2 binary64) (/.f64 c b))) a (.f64 #s(literal -2 binary64) b))
(* 4 (* a c))
(.f64 (.f64 a c) #s(literal 4 binary64))
(* -2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* 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 (.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)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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 (.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.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)
(* -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))))
(* (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 (.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)
(* 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 (/.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)
(* 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 (.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) (*.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 (/.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 (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 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (.f64 a c)) (/.f64 b #s(literal -4 binary64)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (.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))) #s(literal -1/2 binary64)) a) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal -4 binary64))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (.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))) #s(literal -1/2 binary64)) a) (fma.f64 (/.f64 (fma.f64 (.f64 b (/.f64 (.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))) #s(literal -1/2 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))) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (.f64 a c)) (/.f64 b #s(literal -4 binary64)))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c))) #s(literal 4 binary64))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
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(+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))))
(fma.f64 (/.f64 #s(literal -2 binary64) c) (/.f64 (.f64 (.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))) #s(literal -1/2 binary64)) c) (fma.f64 (/.f64 (fma.f64 (.f64 b (/.f64 (.f64 (.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))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 c c) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)))) (pow.f64 c #s(literal 3 binary64))) #s(literal -2 binary64) (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)))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(.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 (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 (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) (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 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.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 #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 1/128 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))) (.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)))) (neg.f64 c))) c))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.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 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.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) (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 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.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 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c) #s(literal -1 binary64) 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 (.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 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) c) #s(literal -4 binary64) (*.f64 b c)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 b c (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (.f64 c c) a)) #s(literal 1/32 binary64))) c) #s(literal -4 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) #s(literal 4 binary64))) (neg.f64 c))) (neg.f64 c)))
(- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(- (* -1 (/ (- (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (/.f64 (fma.f64 (/.f64 (.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 -1/16 binary64)) c) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 b (/.f64 c a)))) (neg.f64 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) (pow a 2))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c)) (* -2 (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.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 -1/16 binary64))) (.f64 (/.f64 #s(literal 1/32 binary64) a) (.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (.f64 c c) a)))) c) (.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 -1/16 binary64)))) c) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 b (/.f64 c a)))) (neg.f64 c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.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 #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) (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 #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 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c)) b) (neg.f64 c))))

rewrite186.0ms (2.3%)

Memory

39.3MiB live, 222.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	439
0	96	354
1	399	346
2	2512	338
0	8186	338

Stop Event

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

Counts

25 → 617

Calls

Call 1

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

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

eval138.0ms (1.7%)

Memory: -8.2MiB live, 139.0MiB allocated
Compiler: Compiled 34 428 to 3 297 computations (90.4% saved)

prune184.0ms (2.2%)

Memory

-22.6MiB live, 69.3MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	729	5	734
Fresh	3	17	20
Picked	2	3	5
Done	0	3	3
Total	734	28	762

Accuracy

91.4%

Counts

762 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a)) (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) #s(literal -2 binary64))) (.f64 a (.f64 (.f64 #s(literal -2 binary64) a) b))) (.f64 a (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) #s(literal -2 binary64)))))
	47.4%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) a)))
	24.3%	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
	22.2%	(/.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)))
	36.1%	(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* 4 (* a c)))) (.f64 (.f64 a c) #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
	41.6%	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal 0 binary64) (.f64 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))))) (.f64 #s(literal 2 binary64) a))
	1.5%	(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)) #s(literal 3/2 binary64))) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)))
	20.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
✓	50.2%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
✓	34.3%	(/.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))
	44.9%	(/.f64 (+.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) b) (*.f64 #s(literal -2 binary64) a))
	28.2%	(/.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))
	29.3%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b))) (*.f64 #s(literal 2 binary64) a))
✓	27.7%	(/.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
	21.3%	(/.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)))
	1.4%	(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))) (/.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b)) #s(literal 3/2 binary64)) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 b b))) (neg.f64 b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))))
	41.5%	(-.f64 (/.f64 (.f64 (.f64 a c) (/.f64 #s(literal 2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b)) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))))
✓	36.8%	(-.f64 (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))))
	39.5%	(-.f64 (.f64 (.f64 #s(literal -4 binary64) c) (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a))))
	28.7%	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (fma.f64 b b (.f64 (neg.f64 b) b))) (-.f64 (.f64 b b) (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) #s(literal 2 binary64)))
	33.6%	(.f64 (/.f64 a (.f64 a a)) (/.f64 (fma.f64 #s(approx (/ b -2) (.f64 #s(literal -1/2 binary64) b)) #s(literal -2 binary64) (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal -2 binary64)))
	32.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
✓	32.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	35.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.6%	#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))
	31.2%	#s(approx (/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
	17.0%	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 c (*.f64 b b))) (neg.f64 b)))
	13.7%	#s(approx (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) #s(literal 0 binary64))

Compiler

Compiled 2 433 to 817 computations (66.4% saved)

regimes238.0ms (2.9%)

Memory

7.7MiB live, 116.2MiB allocated

Counts

47 → 4

Calls

Call 1

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

Calls

4 calls:

196.0ms	(/.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))
15.0ms	b
12.0ms	c
12.0ms	a

Results

Accuracy	Segments	Branch
74.6%	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))`
52.6%	2	`a`
90.2%	4	`b`
57.9%	5	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes12.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

-30.6MiB live, 15.4MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

17 → 3

Calls

Call 1

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

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)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.7%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

14.5MiB live, 14.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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
49.0%	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))`
65.2%	2	`b`

Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes6.0ms (0.1%)

Memory

-38.1MiB live, 6.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
65.2%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

#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	b
1.0ms	c
1.0ms	a
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
35.2%	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))`
35.2%	1	`a`
35.2%	1	`c`
35.2%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes4.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	a
1.0ms	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))

Results

Accuracy	Segments	Branch
13.7%	1	`b`
13.7%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
13.7%	1	`c`
13.7%	1	`a`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch98.0ms (1.2%)

Memory

10.7MiB live, 54.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	3.8552196697098636e+102	1.818836371684808e+105
22.0ms	-1.1084639919493242e-82	-6.1027500308611734e-86
61.0ms	-1.184971354827775e+78	-1.471891528439604e+75

Samples

13.0ms	174×	0	valid
11.0ms	61×	2	valid
10.0ms	78×	1	valid
4.0ms	47×	0	invalid
2.0ms	7×	3	valid

Compiler

Compiled 1 340 to 772 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 9.0ms (32.2% of total)

ival-sub: 5.0ms (17.9% of total)

ival-sqrt: 4.0ms (14.3% of total)

ival-div: 4.0ms (14.3% of total)

adjust: 4.0ms (14.3% of total)

ival-neg: 2.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch48.0ms (0.6%)

Memory

-33.2MiB live, 20.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8552196697098636e+102	1.818836371684808e+105
45.0ms	-1.1084639919493242e-82	-6.1027500308611734e-86

Samples

33.0ms	64×	0	valid
3.0ms	21×	1	valid
2.0ms	29×	0	invalid
2.0ms	11×	2	valid

Compiler

Compiled 588 to 436 computations (25.9% saved)

Precisions

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

ival-mult: 3.0ms (36.1% of total)

ival-div: 1.0ms (12% of total)

adjust: 1.0ms (12% of total)

ival-sqrt: 1.0ms (12% of total)

ival-sub: 1.0ms (12% of total)

ival-neg: 1.0ms (12% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8552196697098636e+102	1.818836371684808e+105
1.0ms	-1.1084639919493242e-82	-6.1027500308611734e-86

Compiler

Compiled 480 to 400 computations (16.7% saved)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8552196697098636e+102	1.818836371684808e+105
1.0ms	-1.1084639919493242e-82	-6.1027500308611734e-86

Compiler

Compiled 480 to 400 computations (16.7% saved)

bsearch19.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	504215.9407466181	8375226.972985811
1.0ms	-1.1084639919493242e-82	-6.1027500308611734e-86

Samples

9.0ms	112×	0	valid
2.0ms	22×	0	invalid

Compiler

Compiled 708 to 574 computations (18.9% saved)

Precisions

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

ival-mult: 3.0ms (43.6% of total)

ival-sub: 1.0ms (14.5% of total)

ival-div: 1.0ms (14.5% of total)

ival-sqrt: 1.0ms (14.5% of total)

ival-neg: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Memory

2.9MiB live, 45.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-3.2352367779102595e-302	6.987167265906929e-305

Samples

17.0ms	160×	0	valid
5.0ms	62×	0	invalid

Compiler

Compiled 500 to 400 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (61.9% of total)

ival-sub: 2.0ms (12.4% of total)

ival-div: 1.0ms (6.2% of total)

ival-sqrt: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.2352367779102595e-302	6.987167265906929e-305

Compiler

Compiled 460 to 380 computations (17.4% saved)

simplify76.0ms (0.9%)

Memory

-31.1MiB live, 55.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	580
1	158	571
2	352	551
3	989	545
4	3608	545

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -290000000000000016861315092330566731939152625510457497208488564077634907013120 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -3335557355294093/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (-.f64 (.f64 (.f64 #s(literal -4 binary64) c) (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) 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))))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) 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)))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (.f64 #s(literal -2 binary64) 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)))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 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)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 620000 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)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) #s(literal 0 binary64))

Outputs
(if (<=.f64 b #s(literal -290000000000000016861315092330566731939152625510457497208488564077634907013120 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -3335557355294093/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (-.f64 (.f64 (.f64 #s(literal -4 binary64) c) (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))) (/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) 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))))))
(if (<=.f64 b #s(literal -290000000000000016861315092330566731939152625510457497208488564077634907013120 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -3335557355294093/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (.f64 (.f64 #s(literal -4 binary64) c) (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) 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))))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) 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)))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (.f64 #s(literal -2 binary64) 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)))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 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)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 620000 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)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (/ (+ (* (/ b -2) (* -2 a)) (* a (sqrt (+ (* -4 (* c a)) (* b b))))) (* a (* -2 a))) #s(literal 0 binary64))

soundness1.1s (13.4%)

Memory

15.0MiB live, 835.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	439
0	96	354
1	399	346
2	2512	338
0	8186	338
0	49	264
0	76	261
1	283	259
2	1809	259
0	8141	257
0	14	51
0	23	51
1	73	51
2	493	50
3	6058	50
0	8175	46
0	1418	9705
1	5234	9518
0	8093	9046
0	715	3754
1	2475	3683
0	9006	3497
0	545	2723
1	1785	2702
2	7277	2702
0	8059	2563

Stop Event

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

Compiler

Compiled 854 to 296 computations (65.3% saved)

preprocess117.0ms (1.4%)

Memory: -13.4MiB live, 76.2MiB allocated
Compiler: Compiled 1 354 to 276 computations (79.6% 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%)

analyze156.0ms (1.9%)

sample1.9s (22.8%)

explain256.0ms (3.1%)

preprocess40.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.1%)

localize41.0ms (0.5%)

series50.0ms (0.6%)

simplify234.0ms (2.8%)

rewrite161.0ms (2%)

eval46.0ms (0.6%)

prune14.0ms (0.2%)

simplify93.0ms (1.1%)

localize123.0ms (1.5%)

series27.0ms (0.3%)

simplify206.0ms (2.5%)

rewrite195.0ms (2.4%)

eval141.0ms (1.7%)

prune44.0ms (0.5%)

simplify157.0ms (1.9%)

localize231.0ms (2.8%)

series65.0ms (0.8%)

simplify196.0ms (2.4%)

rewrite229.0ms (2.8%)

eval196.0ms (2.4%)

prune74.0ms (0.9%)

simplify179.0ms (2.2%)

localize586.0ms (7.1%)

series44.0ms (0.5%)

simplify267.0ms (3.2%)

rewrite186.0ms (2.3%)

eval138.0ms (1.7%)

prune184.0ms (2.2%)

regimes238.0ms (2.9%)

regimes12.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch98.0ms (1.2%)

bsearch48.0ms (0.6%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch19.0ms (0.2%)

bsearch33.0ms (0.4%)

bsearch1.0ms (0%)

simplify76.0ms (0.9%)

soundness1.1s (13.4%)

preprocess117.0ms (1.4%)

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