Metrics for quadm (p42, negative)

analyze139.0ms (1.3%)

Memory

-15.4MiB live, 183.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.8s (16.4%)

Memory

37.3MiB live, 1 842.4MiB allocated

Samples

587.0ms	5 547×	0	valid
328.0ms	1 197×	2	valid
199.0ms	1 320×	1	valid
72.0ms	931×	0	invalid
66.0ms	192×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 826.0ms

ival-mult: 287.0ms (34.8% of total)

ival-sub: 125.0ms (15.1% of total)

adjust: 103.0ms (12.5% of total)

ival-neg: 99.0ms (12% of total)

ival-sqrt: 99.0ms (12% of total)

ival-div: 93.0ms (11.3% of total)

exact: 10.0ms (1.2% of total)

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

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess252.0ms (2.4%)

Memory

13.5MiB live, 123.7MiB allocated

Algorithm

2×	egg-herbie

Rules

1 462×	`div-sub`
1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
1 118×	`unsub-neg`
918×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	175
1	201	168
2	603	164
3	1982	160
4	4332	160
5	5566	160
6	5930	160
7	6062	160
8	6101	160
9	6254	160
10	7251	160
11	7948	160
0	14	17
1	36	17
2	95	17
3	238	16
4	400	16
5	734	16
6	1551	16
7	2038	16
8	2197	16
9	2267	16
10	2277	16
11	2277	16
12	2283	16
0	2283	15

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

Outputs

(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

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

Call 2

Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))

Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(* (- b (sqrt (+ (* b b) (* a (* c -4))))) (/ 1/2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(* (- b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(* (+ a (sqrt (+ (* a a) (* b (* c -4))))) (/ -1/2 b))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 c))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(* (+ c (sqrt (+ (* c c) (* b (* a -4))))) (/ -1/2 a))

explain281.0ms (2.6%)

Memory

-14.0MiB live, 228.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
56	1	(-1.4932058723224589e-134 -7.503875006019056e+164 6.15854149271744e-25)	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
16	0	-	2	(-2.317581838024751e-191 -3.81301971393787e-132 -1.3310685184964571e-257)	`(/.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))`
2	0	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	0	-	0	-	`a`
0	2	(3.5899470248187716e-304 8.117801778196259e+134 3.710211290032898e-21)	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(neg.f64 b)`
0	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	93	0
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	23
↳	`(*.f64 a c)`	overflow	23
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	93
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	57	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	13	0
↳	`(*.f64 b b)`	underflow	44
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	33
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	39
↳	`(*.f64 a c)`	underflow	41
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	7
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	7	0
↳	`(*.f64 b b)`	underflow	44
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	39
↳	`(*.f64 a c)`	underflow	41
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	7
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	23
↳	`(*.f64 a c)`	overflow	23
`/.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))`	n/o	1	0
↳	`(*.f64 #s(literal 2 binary64) a)`	overflow	1

Confusion

	Predicted +	Predicted -
+	128	0
-	9	119

Precision

0.9343065693430657

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	9	0	119

Precision?

0.9343065693430657

Recall?

1.0

Freqs

test

number	freq
0	119
1	102
2	34
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	80×	2	valid
30.0ms	332×	0	valid
15.0ms	88×	1	valid
4.0ms	12×	3	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

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

ival-sqrt: 24.0ms (39.2% of total)

ival-mult: 16.0ms (26.1% of total)

ival-sub: 7.0ms (11.4% of total)

ival-div: 6.0ms (9.8% of total)

adjust: 4.0ms (6.5% of total)

ival-neg: 4.0ms (6.5% of total)

exact: 1.0ms (1.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.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))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify114.0ms (1.1%)

Memory

31.9MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))
✓	cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓	cost-diff	192	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
✓	cost-diff	192	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Rules

1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
744×	`-lowering-.f32`
744×	`-lowering-.f64`
446×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	36	70
2	95	70
3	238	69
4	400	69
5	734	69
6	1551	69
7	2038	69
8	2197	69
9	2267	69
10	2277	69
11	2277	69
12	2283	69
0	2283	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(neg b)
b
(sqrt (- (* b b) (* 4 (* a c))))
(- (* b b) (* 4 (* a c)))
(* b b)
(* 4 (* a c))
4
(* a c)
a
c
(* 2 a)
2

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

localize94.0ms (0.9%)

Memory

-45.6MiB live, 68.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
✓	accuracy	94.5%	(/.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))
✓	accuracy	79.5%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓	accuracy	63.6%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

27.0ms	166×	0	valid
9.0ms	40×	2	valid
7.0ms	44×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 8.0ms (37.9% of total)

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

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

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

adjust: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

exact: 0.0ms (0% of total)

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

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

series22.0ms (0.2%)

Memory

-4.3MiB live, 34.0MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))>
#<alt (- (* b b) (* 4 (* a c)))>
#<alt (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))>
#<alt (sqrt (- (* b b) (* 4 (* a c))))>

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
1.0ms	a	@	inf	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms	b	@	0	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms	a	@	-inf	(sqrt (- (* b b) (* 4 (* a c))))
1.0ms	b	@	inf	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

rewrite301.0ms (2.8%)

Memory

31.5MiB live, 461.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 318×	`accelerator-lowering-fma.f32`
5 318×	`accelerator-lowering-fma.f64`
4 626×	`-lowering-.f32`
4 626×	`-lowering-.f64`
3 036×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	72	49
2	582	47
0	8096	43

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 484

Calls

Call 1

Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(- (* b b) (* 4 (* a c)))
(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(sqrt (- (* b b) (* 4 (* a c))))

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

simplify470.0ms (4.4%)

Memory

-10.0MiB live, 739.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 868×	`accelerator-lowering-fma.f32`
9 868×	`accelerator-lowering-fma.f64`
7 984×	`-lowering-.f32`
7 984×	`-lowering-.f64`
2 264×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3114
1	1718	3085
2	5758	3046
0	8120	2886

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #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 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (fma.f64 a (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (+.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (/.f64 c (.f64 b b))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a a) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (*.f64 b b))) c)) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (.f64 b b))) c))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (.f64 c (fma.f64 c (/.f64 a (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (-.f64 #s(literal 0 binary64) b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b)))) (/.f64 c b)) (-.f64 #s(literal 0 binary64) b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #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 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) a)) a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (.f64 c (fma.f64 c (/.f64 a (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 c (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (.f64 c a)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 c (fma.f64 (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (*.f64 c a))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (.f64 c a))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (-.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (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 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a)))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (sqrt.f64 (.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -4 binary64))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) b))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -4 binary64)))))
(- (* 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)))
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(* -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)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -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))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 a (.f64 c (/.f64 a (.f64 b (.f64 b b)))) (/.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 c (fma.f64 c (fma.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal -2 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -2 binary64) (/.f64 a b))) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 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)))))
(.f64 c (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c 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 c (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 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 #s(literal 0 binary64) (.f64 c (fma.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))))

eval86.0ms (0.8%)

Memory: -14.9MiB live, 187.9MiB allocated
Compiler: Compiled 25 005 to 2 159 computations (91.4% saved)

prune103.0ms (1%)

Memory

20.2MiB live, 179.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	613	15	628
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	614	15	629

Accuracy

91.0%

Counts

629 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.1%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	30.0%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
	19.3%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
	47.4%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶	51.8%	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
▶	35.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	24.7%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	32.3%	(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	33.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
▶	33.1%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	29.4%	(-.f64 (/.f64 c b) (/.f64 b a))
	27.6%	(-.f64 (.f64 c (fma.f64 c (/.f64 a (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
	36.9%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶	29.5%	(-.f64 #s(literal 0 binary64) (/.f64 b a))
	33.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

Compiler

Compiled 542 to 340 computations (37.3% saved)

simplify450.0ms (4.2%)

Memory

-12.0MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
✓	cost-diff	320	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
✓	cost-diff	-64	(neg.f64 b)
✓	cost-diff	0	(sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))
✓	cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	192	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	-64	(neg.f64 b)
✓	cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b)))
✓	cost-diff	192	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	896	(sqrt.f64 (*.f64 b b))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	192	(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
✓	cost-diff	192	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))

Rules

3 152×	`accelerator-lowering-fma.f32`
3 152×	`accelerator-lowering-fma.f64`
1 944×	`div-sub`
1 912×	`-lowering-.f32`
1 912×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	279
1	71	275
2	169	273
3	512	271
4	1168	271
5	2353	271
6	3666	271
7	4680	271
8	5296	271
9	5546	271
10	5603	271
11	5624	271
12	5651	271
13	5948	271
14	6237	271
15	6611	271
16	6729	271
17	6902	271
18	6906	271
19	6919	271
20	6919	271
21	6989	271
22	7061	271
23	7189	271
24	7189	271
25	7195	271
0	7195	258

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(neg b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
1
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
(- 0 (/ b a))
0
(/ b a)
b
a
(/ (- (neg b) (sqrt (* b b))) (* 2 a))
(- (neg b) (sqrt (* b b)))
(neg b)
b
(sqrt (* b b))
(* b b)
(* 2 a)
2
a
(/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))
(- (neg b) (sqrt (* c (* a -4))))
(neg b)
b
(sqrt (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
(/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a))
1/2
(* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)
(/ 1 (- b (sqrt (+ (* b b) (* c (* a -4))))))
1
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4

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

localize153.0ms (1.4%)

Memory

20.5MiB live, 309.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
✓	accuracy	96.5%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
✓	accuracy	90.9%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	85.4%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	99.6%	(.f64 c (.f64 a #s(literal -4 binary64)))
✓	accuracy	99.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	86.7%	(sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	76.9%	(sqrt.f64 (*.f64 b b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓	accuracy	99.6%	(.f64 c (.f64 a #s(literal -4 binary64)))
✓	accuracy	99.5%	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	97.4%	(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
✓	accuracy	85.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))

Samples

23.0ms	51×	1	valid
22.0ms	19×	2	valid
19.0ms	89×	0	invalid
17.0ms	68×	0	valid
6.0ms	12×	2	exit
3.0ms	13×	1	exit
3.0ms	4×	3	valid

Compiler

Compiled 276 to 34 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 18.0ms (33.3% of total)

ival-sqrt: 11.0ms (20.3% of total)

ival-mult: 9.0ms (16.6% of total)

ival-sub: 8.0ms (14.8% of total)

adjust: 4.0ms (7.4% of total)

ival-add: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

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

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

series91.0ms (0.9%)

Memory

-4.8MiB live, 111.0MiB allocated

Counts

21 → 576

Calls

Call 1

Inputs
#<alt (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))>
#<alt (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))>
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))>
#<alt (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))>
#<alt (- 0 (/ b a))>
#<alt (/ b a)>
#<alt (sqrt (* b b))>
#<alt (/ (- (neg b) (sqrt (* b b))) (* 2 a))>
#<alt (- (neg b) (sqrt (* b b)))>
#<alt (neg b)>
#<alt (/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))>
#<alt (- (neg b) (sqrt (* c (* a -4))))>
#<alt (sqrt (* c (* a -4)))>
#<alt (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a))>
#<alt (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)>
#<alt (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (* c (* a -4))>
#<alt (* 2 a)>
#<alt (* b b)>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>

Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 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))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* 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)))>
#<alt (* -2 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)>
#<alt (/ -1 b)>
#<alt (* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))>
#<alt (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
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#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>

Calls

144 calls:

Time	Variable		Point	Expression
27.0ms	c	@	inf	(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
7.0ms	b	@	-inf	(* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)
4.0ms	a	@	inf	(* 2 a)
2.0ms	c	@	0	(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
2.0ms	a	@	inf	(/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a))

rewrite421.0ms (3.9%)

Memory

-15.6MiB live, 743.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 468×	`accelerator-lowering-fma.f32`
5 468×	`accelerator-lowering-fma.f64`
4 394×	`/-lowering-/.f32`
4 394×	`/-lowering-/.f64`
4 136×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	202
1	201	178
2	1837	175
0	8392	158

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 170

Calls

Call 1

Inputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(- 0 (/ b a))
(/ b a)
(sqrt (* b b))
(/ (- (neg b) (sqrt (* b b))) (* 2 a))
(- (neg b) (sqrt (* b b)))
(neg b)
(/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))
(- (neg b) (sqrt (* c (* a -4))))
(sqrt (* c (* a -4)))
(/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a))
(* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)
(/ 1 (- b (sqrt (+ (* b b) (* c (* a -4))))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(* c (* a -4))
(* 2 a)
(* b b)
(sqrt (+ (* b b) (* c (* a -4))))

Outputs
(+.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (fma.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))))) (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))) (fma.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64)))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (neg.f64 (sqrt.f64 b)) #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 b) #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 b)) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 b)) a) (/.f64 (sqrt.f64 b) #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 b)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 b) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)) a)
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 (.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)) (.f64 (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64)))))) (fma.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)) (.f64 a #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) a) #s(literal 2 binary64))
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(exp.f64 (log.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) #s(literal 16 binary64))) #s(literal 1/2 binary64)))
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(pow.f64 (.f64 c (.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))
(.f64 c (.f64 a #s(literal -4 binary64)))
(.f64 a (.f64 #s(literal -4 binary64) c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(.f64 #s(literal -4 binary64) (pow.f64 (.f64 c a) #s(literal 1 binary64)))
(.f64 (.f64 a #s(literal -4 binary64)) c)
(.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 (.f64 a #s(literal -4 binary64)) (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (pow.f64 (.f64 c (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 (.f64 c (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (.f64 c a) #s(literal -4 binary64))
(.f64 (sqrt.f64 (.f64 c a)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (.f64 c #s(literal -4 binary64)) a)
(.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) c)) (sqrt.f64 (*.f64 a #s(literal -4 binary64))))
(.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) c) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 c a) #s(literal 1 binary64)) #s(literal -4 binary64))
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(.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 c))
(.f64 (sqrt.f64 (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 b (.f64 b (.f64 b b)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 b b))
(fabs.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(sqrt.f64 (.f64 b (.f64 b (*.f64 b b))))
(neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64))
(pow.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1/2 binary64))
(*.f64 b b)
(*.f64 b (pow.f64 (neg.f64 (sqrt.f64 b)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))
(.f64 #s(literal 1 binary64) (.f64 b b))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 b (-.f64 #s(literal 0 binary64) b)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 b) (.f64 b (sqrt.f64 b)))
(.f64 (sqrt.f64 b) (pow.f64 (.f64 b (sqrt.f64 b)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 b) (fabs.f64 (.f64 b (sqrt.f64 b))))
(.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) b)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 b)) #s(literal 2 binary64)) b)
(.f64 (pow.f64 (.f64 b (sqrt.f64 b)) #s(literal 1 binary64)) (sqrt.f64 b))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) #s(literal 1 binary64)) b)
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(.f64 (fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64))) b)
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(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1/2 binary64)))
(hypot.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))
(hypot.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))
(hypot.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))
(hypot.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))
(hypot.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b)
(hypot.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) b))
(hypot.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) b)
(hypot.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(fabs.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (sqrt.f64 (fma.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (sqrt.f64 (.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 b b)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)))) (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))))))) (sqrt.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))))))) (neg.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 b b))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 b b)))))))
(.f64 (sqrt.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 b b)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

simplify601.0ms (5.6%)

Memory

-3.1MiB live, 757.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 150×	`-lowering-.f32`
7 150×	`-lowering-.f64`
6 264×	`accelerator-lowering-fma.f32`
6 264×	`accelerator-lowering-fma.f64`
3 982×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1370	11198
1	4505	10955
0	8158	10520

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -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)))
(* -2 b)
(* 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)))))))
(* -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))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* 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)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -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))))))
(* -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))
(* -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)))))
(* 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))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
b
b
b
b
b
b
b
b
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
0
0
0
0
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
0
0
0
0
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 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)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* -1/2 (/ b a))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
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(* 1/2 (/ b (* a c)))
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(/ (+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* 1/2 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (* c (pow (sqrt -4) 2)))))) a)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))

Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c)))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 c (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 c c)) (.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 c (fma.f64 a (/.f64 c (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 c (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (.f64 c a)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (.f64 c a))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (.f64 c a))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (-.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))))) c)) c))) (neg.f64 c))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.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 a (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)) (-.f64 #s(literal 0 binary64) b)) a)
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
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(* -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)))))))
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(* -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))))))))
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eval322.0ms (3%)

Memory: 34.8MiB live, 488.2MiB allocated
Compiler: Compiled 47 536 to 5 662 computations (88.1% saved)

prune266.0ms (2.5%)

Memory

18.7MiB live, 541.1MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 929	19	1 948
Fresh	6	4	10
Picked	3	2	5
Done	0	0	0
Total	1 938	25	1 963

Accuracy

99.9%

Counts

1 963 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) a))
▶	30.0%	(/.f64 (/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b) (*.f64 #s(literal 2 binary64) a))
	28.0%	(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
	28.4%	(/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶	24.3%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 b b))) (fabs.f64 (+.f64 #s(literal 0 binary64) b)))) (.f64 #s(literal 2 binary64) a))
	22.6%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
	19.9%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
✓	35.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	24.7%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	32.3%	(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	14.2%	(/.f64 c b)
	2.4%	(/.f64 b a)
	33.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	14.1%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) a))
	33.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) #s(literal -4 binary64)))))) a))
	29.4%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	29.4%	(-.f64 (/.f64 c b) (/.f64 b a))
▶	36.9%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	35.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
▶	2.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b b))
	10.8%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b b) (*.f64 a a))) (/.f64 a b))
	13.6%	(.f64 c (fma.f64 a (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)))
	29.4%	(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
	29.5%	(neg.f64 (/.f64 b a))
▶	14.3%	#s(literal 0 binary64)

Compiler

Compiled 674 to 456 computations (32.3% saved)

simplify511.0ms (4.8%)

Memory

-42.1MiB live, 579.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) b)
✓	cost-diff	320	(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))
✓	cost-diff	1088	(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (fabs.f64 (+.f64 #s(literal 0 binary64) b)))
✓	cost-diff	0	(.f64 (.f64 c a) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	1344	(/.f64 (/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(+.f64 b b)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	512	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b b))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 c b))

Rules

18 776×	`accelerator-lowering-fma.f32`
18 776×	`accelerator-lowering-fma.f64`
3 586×	`-lowering-.f32`
3 586×	`-lowering-.f64`
1 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	120
1	66	112
2	226	104
3	680	103
4	2503	87
5	6795	87
0	8035	87

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 0 (/ c b))
0
(/ c b)
c
b
0
(* (/ 1/2 a) (+ b b))
(/ 1/2 a)
1/2
a
(+ b b)
b
(/ (/ (* (* c a) -2) b) (* 2 a))
(/ (* (* c a) -2) b)
(* (* c a) -2)
(* c a)
c
a
-2
b
(* 2 a)
2
(/ (- (neg b) (/ (fabs (- 0 (* b b))) (fabs (+ 0 b)))) (* 2 a))
(- (neg b) (/ (fabs (- 0 (* b b))) (fabs (+ 0 b))))
(neg b)
b
(/ (fabs (- 0 (* b b))) (fabs (+ 0 b)))
(fabs (- 0 (* b b)))
(- 0 (* b b))
0
(* b b)
(fabs (+ 0 b))
(+ 0 b)
(* 2 a)
2
a

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

localize100.0ms (0.9%)

Memory

9.9MiB live, 127.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	100.0%	(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))
✓	accuracy	100.0%	(fabs.f64 (+.f64 #s(literal 0 binary64) b))
✓	accuracy	55.1%	(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (fabs.f64 (+.f64 #s(literal 0 binary64) b)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	100.0%	(.f64 (.f64 c a) #s(literal -2 binary64))
✓	accuracy	92.3%	(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
✓	accuracy	82.0%	(/.f64 (/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) a)
✓	accuracy	100.0%	(+.f64 b b)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b b))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 c b))

Samples

44.0ms	134×	1	valid
20.0ms	122×	0	valid

Compiler

Compiled 137 to 28 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 13.0ms (34.5% of total)

ival-mult: 8.0ms (21.2% of total)

ival-sub: 5.0ms (13.3% of total)

adjust: 3.0ms (8% of total)

ival-fabs: 3.0ms (8% of total)

ival-add: 3.0ms (8% of total)

ival-neg: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

14 → 264

Calls

Call 1

Inputs
#<alt (- 0 (/ c b))>
#<alt (/ c b)>
#<alt (* (/ 1/2 a) (+ b b))>
#<alt (/ 1/2 a)>
#<alt (+ b b)>
#<alt (/ (/ (* (* c a) -2) b) (* 2 a))>
#<alt (* 2 a)>
#<alt (/ (* (* c a) -2) b)>
#<alt (* (* c a) -2)>
#<alt (/ (fabs (- 0 (* b b))) (fabs (+ 0 b)))>
#<alt (fabs (- 0 (* b b)))>
#<alt (+ 0 b)>
#<alt (fabs (+ 0 b))>
#<alt (neg b)>

Outputs
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs b))>
#<alt (/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))>
#<alt (/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))>
#<alt (/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))>
#<alt (/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt (fabs (neg (pow b 2)))>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt (fabs b)>
#<alt (fabs b)>
#<alt (fabs b)>
#<alt (fabs b)>
#<alt (fabs b)>
#<alt (fabs b)>
#<alt (fabs b)>
#<alt (fabs b)>
#<alt (fabs (neg (* -1 b)))>
#<alt (fabs (neg (* -1 b)))>
#<alt (fabs (neg (* -1 b)))>
#<alt (fabs (neg (* -1 b)))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/ (* (* c a) -2) b)
1.0ms	a	@	0	(/ (/ (* (* c a) -2) b) (* 2 a))
0.0ms	c	@	0	(/ (* (* c a) -2) b)
0.0ms	b	@	-inf	(/ (fabs (- 0 (* b b))) (fabs (+ 0 b)))
0.0ms	b	@	inf	(/ (fabs (- 0 (* b b))) (fabs (+ 0 b)))

rewrite85.0ms (0.8%)

Memory

-15.3MiB live, 177.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

712×	`/-lowering-/.f32`
712×	`/-lowering-/.f64`
622×	`-lowering-.f32`
622×	`-lowering-.f64`
296×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	68
1	136	55
0	1355	55

Stop Event

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

Counts

14 → 370

Calls

Call 1

Inputs
(- 0 (/ c b))
(/ c b)
(* (/ 1/2 a) (+ b b))
(/ 1/2 a)
(+ b b)
(/ (/ (* (* c a) -2) b) (* 2 a))
(* 2 a)
(/ (* (* c a) -2) b)
(* (* c a) -2)
(/ (fabs (- 0 (* b b))) (fabs (+ 0 b)))
(fabs (- 0 (* b b)))
(+ 0 b)
(fabs (+ 0 b))
(neg b)

Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 c c) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (.f64 (/.f64 c b) (/.f64 (.f64 c c) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (.f64 c c) (fma.f64 b b #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (/.f64 (*.f64 c c) (fma.f64 b b #s(literal 0 binary64))) (/.f64 c b)))
(fma.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 c b) (/.f64 (.f64 c c) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 c b) #s(literal 0 binary64))
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(*.f64 #s(literal 1 binary64) (fabs.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) (fabs.f64 (fma.f64 b b #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) b)
(/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)))
(*.f64 b #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)))

simplify152.0ms (1.4%)

Memory

-9.5MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 372×	`-lowering-.f32`
2 372×	`-lowering-.f64`
1 458×	`accelerator-lowering-fma.f32`
1 458×	`accelerator-lowering-fma.f64`
1 152×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	1116
1	52	1080
2	96	1080
3	314	984
4	891	984
5	2541	984
6	5014	984
7	7313	984
0	8295	984

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs b))
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
(fabs (neg (pow b 2)))
b
b
b
b
b
b
b
b
b
b
b
b
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs (neg (* -1 b)))
(fabs (neg (* -1 b)))
(fabs (neg (* -1 b)))
(fabs (neg (* -1 b)))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)

Outputs
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 b)
(fma.f64 b #s(literal 2 binary64) #s(literal 0 binary64))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (/ (* a c) b))
(fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (* a c))
(fma.f64 c (*.f64 a #s(literal -2 binary64)) #s(literal 0 binary64))
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs b))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(fabs.f64 b)
(/ (fabs (neg (pow b 2))) (fabs (neg (* -1 b))))
(fabs.f64 b)
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
(fabs (neg (pow b 2)))
(fma.f64 b b #s(literal 0 binary64))
b
b
b
b
b
b
b
b
b
b
b
b
(fabs b)
(fabs.f64 b)
(fabs b)
(fabs.f64 b)
(fabs b)
(fabs.f64 b)
(fabs b)
(fabs.f64 b)
(fabs b)
(fabs.f64 b)
(fabs b)
(fabs.f64 b)
(fabs b)
(fabs.f64 b)
(fabs b)
(fabs.f64 b)
(fabs (neg (* -1 b)))
(fabs.f64 b)
(fabs (neg (* -1 b)))
(fabs.f64 b)
(fabs (neg (* -1 b)))
(fabs.f64 b)
(fabs (neg (* -1 b)))
(fabs.f64 b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)

eval106.0ms (1%)

Memory: 18.9MiB live, 123.0MiB allocated
Compiler: Compiled 8 252 to 933 computations (88.7% saved)

prune84.0ms (0.8%)

Memory

12.2MiB live, 162.4MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	643	8	651
Fresh	0	18	18
Picked	4	1	5
Done	0	2	2
Total	647	29	676

Accuracy

99.9%

Counts

676 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) a))
	29.9%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (+.f64 b b)) a)
	28.0%	(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
	28.4%	(/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	24.3%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fabs.f64 (fma.f64 b b #s(literal 0 binary64))) (fabs.f64 b))) (*.f64 #s(literal 2 binary64) a))
	22.6%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
	19.9%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
✓	35.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	24.7%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	32.3%	(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	2.4%	(/.f64 (+.f64 b b) a)
	14.2%	(/.f64 c b)
▶	2.4%	(/.f64 b a)
	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b b)))
	33.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	14.1%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) a))
	33.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) #s(literal -4 binary64)))))) a))
▶	29.4%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	29.4%	(-.f64 (/.f64 c b) (/.f64 b a))
▶	10.5%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))))
	6.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b b)))
	35.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
	10.8%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b b) (*.f64 a a))) (/.f64 a b))
	2.4%	(*.f64 (+.f64 b b) (/.f64 #s(literal 1 binary64) a))
▶	13.6%	(.f64 c (fma.f64 a (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)))
	29.4%	(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
▶	36.9%	(neg.f64 (/.f64 c b))
	29.5%	(neg.f64 (/.f64 b a))
✓	14.3%	#s(literal 0 binary64)

Compiler

Compiled 760 to 504 computations (33.7% saved)

simplify365.0ms (3.4%)

Memory

9.7MiB live, 634.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(/.f64 c (.f64 b (.f64 b b)))
✓	cost-diff	0	(fma.f64 a (/.f64 c (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) b))
✓	cost-diff	320	(.f64 c (fma.f64 a (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))))
✓	cost-diff	1472	(*.f64 (/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	512	(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	-64	(neg.f64 (/.f64 c b))
✓	cost-diff	0	(/.f64 c b)

Rules

12 150×	`accelerator-lowering-fma.f32`
12 150×	`accelerator-lowering-fma.f64`
4 732×	`-lowering-.f32`
4 732×	`-lowering-.f64`
1 942×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	88
1	75	87
2	186	87
3	516	87
4	2416	87
5	4556	87
6	5508	87
7	7122	87
0	8736	85

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(neg (/ c b))
(/ c b)
c
b
(/ b a)
b
a
(/ -1 (/ a b))
-1
(/ a b)
a
b
(- 0 (* (/ c (+ (* b (+ (* b b) 0)) 0)) (+ (* b b) 0)))
0
(* (/ c (+ (* b (+ (* b b) 0)) 0)) (+ (* b b) 0))
(/ c (+ (* b (+ (* b b) 0)) 0))
c
(+ (* b (+ (* b b) 0)) 0)
b
(+ (* b b) 0)
(* c (+ (* a (/ c (* b (* b b)))) (/ 1 b)))
c
(+ (* a (/ c (* b (* b b)))) (/ 1 b))
a
(/ c (* b (* b b)))
(* b (* b b))
b
(* b b)
(/ 1 b)
1

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

localize67.0ms (0.6%)

Memory

25.5MiB live, 147.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	96.9%	(.f64 c (fma.f64 a (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)))
✓	accuracy	96.7%	(fma.f64 a (/.f64 c (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	93.7%	(/.f64 c (.f64 b (.f64 b b)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))))
✓	accuracy	99.9%	(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	93.7%	(/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	accuracy	39.0%	(*.f64 (/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(neg.f64 (/.f64 c b))

Samples

43.0ms

256×

valid

Compiler

Compiled 128 to 26 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 13.0ms (45.3% of total)

ival-mult: 8.0ms (27.9% of total)

ival-add: 5.0ms (17.4% of total)

ival-sub: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.6%)

Memory

-16.9MiB live, 22.1MiB allocated

Counts

14 → 324

Calls

Call 1

Inputs
#<alt (/ c b)>
#<alt (neg (/ c b))>
#<alt (/ b a)>
#<alt (/ -1 (/ a b))>
#<alt (/ a b)>
#<alt (* (/ c (+ (* b (+ (* b b) 0)) 0)) (+ (* b b) 0))>
#<alt (- 0 (* (/ c (+ (* b (+ (* b b) 0)) 0)) (+ (* b b) 0)))>
#<alt (/ c (+ (* b (+ (* b b) 0)) 0))>
#<alt (+ (* b (+ (* b b) 0)) 0)>
#<alt (* c (+ (* a (/ c (* b (* b b)))) (/ 1 b)))>
#<alt (+ (* a (/ c (* b (* b b)))) (/ 1 b))>
#<alt (/ c (* b (* b b)))>
#<alt (/ 1 b)>
#<alt (* b (* b b))>

Outputs
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (/ c b)>
#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))>
#<alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))>
#<alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ c b)>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))>
#<alt (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))>
#<alt (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))>
#<alt (* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))>
#<alt (* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (+ (/ 1 b) (/ (* a c) (pow b 3)))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (/ (* a c) (pow b 3))>
#<alt (* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))>
#<alt (* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))>
#<alt (* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))>
#<alt (/ (* a c) (pow b 3))>
#<alt (/ (+ (* a c) (pow b 2)) (pow b 3))>
#<alt (/ (+ (* a c) (pow b 2)) (pow b 3))>
#<alt (/ (+ (* a c) (pow b 2)) (pow b 3))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ (* a c) (pow b 2))) b)>
#<alt (/ (+ 1 (/ (* a c) (pow b 2))) b)>
#<alt (/ (+ 1 (/ (* a c) (pow b 2))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>

Calls

81 calls:

Time	Variable		Point	Expression
51.0ms	b	@	0	(/ c (+ (* b (+ (* b b) 0)) 0))
1.0ms	c	@	0	(/ c (+ (* b (+ (* b b) 0)) 0))
1.0ms	c	@	inf	(/ c (+ (* b (+ (* b b) 0)) 0))
1.0ms	a	@	0	(* c (+ (* a (/ c (* b (* b b)))) (/ 1 b)))
1.0ms	c	@	-inf	(* c (+ (* a (/ c (* b (* b b)))) (/ 1 b)))

rewrite753.0ms (7%)

Memory

-27.9MiB live, 879.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 498×	`accelerator-lowering-fma.f32`
8 498×	`accelerator-lowering-fma.f64`
4 050×	`-lowering-.f32`
4 050×	`-lowering-.f64`
3 736×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	68
1	164	67
2	1479	67
0	8780	65

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 2 348

Calls

Call 1

Inputs
(/ c b)
(neg (/ c b))
(/ b a)
(/ -1 (/ a b))
(/ a b)
(* (/ c (+ (* b (+ (* b b) 0)) 0)) (+ (* b b) 0))
(- 0 (* (/ c (+ (* b (+ (* b b) 0)) 0)) (+ (* b b) 0)))
(/ c (+ (* b (+ (* b b) 0)) 0))
(+ (* b (+ (* b b) 0)) 0)
(* c (+ (* a (/ c (* b (* b b)))) (/ 1 b)))
(+ (* a (/ c (* b (* b b)))) (/ 1 b))
(/ c (* b (* b b)))
(/ 1 b)
(* b (* b b))

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

simplify345.0ms (3.2%)

Memory

-1.8MiB live, 437.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 700×	`accelerator-lowering-fma.f32`
6 700×	`accelerator-lowering-fma.f64`
5 862×	`-lowering-.f32`
5 862×	`-lowering-.f64`
1 688×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1682
1	206	1682
2	595	1676
3	1643	1676
4	3801	1676
5	5743	1676
6	7068	1676
7	7497	1676
8	7905	1676
0	9198	1622

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ c b))
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(/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ c (pow b 3))
(/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ c (pow b 3))
(/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ c (pow b 3))
(/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(pow b 3)
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))

eval389.0ms (3.6%)

Memory: 49.4MiB live, 660.3MiB allocated
Compiler: Compiled 76 697 to 4 705 computations (93.9% saved)

prune416.0ms (3.9%)

Memory

1.9MiB live, 826.8MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	2 667	5	2 672
Fresh	1	20	21
Picked	2	3	5
Done	0	3	3
Total	2 670	31	2 701

Accuracy

99.9%

Counts

2 701 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) a))
	29.9%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (+.f64 b b)) a)
	29.4%	(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
	28.0%	(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
	28.4%	(/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	24.3%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fabs.f64 (fma.f64 b b #s(literal 0 binary64))) (fabs.f64 b))) (*.f64 #s(literal 2 binary64) a))
	22.6%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
	19.9%	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
✓	35.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	24.7%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	32.3%	(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	2.4%	(/.f64 (+.f64 b b) a)
	14.2%	(/.f64 c b)
✓	2.4%	(/.f64 b a)
	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b b)))
	33.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	14.1%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) a))
	33.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) #s(literal -4 binary64)))))) a))
✓	29.4%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	29.3%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
	29.4%	(-.f64 (/.f64 c b) (/.f64 b a))
	10.5%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 c (.f64 (fma.f64 b b #s(literal 0 binary64)) b)) (fma.f64 b b #s(literal 0 binary64))))
	6.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b b)))
	35.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
	29.4%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	10.8%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b b) (*.f64 a a))) (/.f64 a b))
	2.4%	(*.f64 (+.f64 b b) (/.f64 #s(literal 1 binary64) a))
	14.2%	(*.f64 c (/.f64 #s(literal 1 binary64) b))
✓	36.9%	(neg.f64 (/.f64 c b))
	29.5%	(neg.f64 (/.f64 b a))
✓	14.3%	#s(literal 0 binary64)

Compiler

Compiled 977 to 442 computations (54.8% saved)

regimes70.0ms (0.6%)

Memory

27.2MiB live, 138.5MiB allocated

Counts

48 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	a
16.0ms	c
15.0ms	(/.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))
13.0ms	b

Results

Accuracy	Segments	Branch
59.2%	4	`a`
86.6%	3	`b`
62.3%	4	`c`
78.1%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes20.0ms (0.2%)

Memory

-16.4MiB live, 51.3MiB allocated

Counts

35 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
82.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes304.0ms (2.8%)

Memory

-89.9MiB live, 66.2MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

Calls

2 calls:

294.0ms	(/.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))
8.0ms	b

Results

Accuracy	Segments	Branch
51.3%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
64.0%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-25.6MiB live, 19.1MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 c b))
(neg.f64 (/.f64 b a))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
63.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-7.5MiB live, 31.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))

Outputs
#s(literal 0 binary64)
(neg.f64 (/.f64 b a))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
29.5%	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))`
29.5%	1	`a`
29.5%	1	`c`
41.0%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Accuracy

Total -8.2b remaining (-14.9%)

Threshold costs -8.2b (-14.9%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.3%	1	`c`
14.3%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
14.3%	1	`a`
14.3%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch55.0ms (0.5%)

Memory

-22.8MiB live, 95.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.651131600098448e+52	2.180822148803365e+53
23.0ms	-7.176542247810905e-104	-3.4260314186317345e-106

Samples

12.0ms	159×	0	valid
5.0ms	33×	1	valid
4.0ms	16×	2	valid
3.0ms	39×	0	invalid

Compiler

Compiled 418 to 299 computations (28.5% saved)

Precisions

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

ival-mult: 7.0ms (43.3% of total)

ival-sub: 3.0ms (18.6% of total)

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

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

adjust: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.4%)

Memory

34.1MiB live, 108.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.054883567907685e-13	5.616010715466853e-12
21.0ms	-7.176542247810905e-104	-3.4260314186317345e-106

Samples

14.0ms	184×	0	valid
4.0ms	28×	1	valid
4.0ms	47×	0	invalid
2.0ms	12×	2	valid

Compiler

Compiled 394 to 293 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (41.5% of total)

ival-sub: 3.0ms (17.8% of total)

ival-div: 2.0ms (11.8% of total)

ival-neg: 2.0ms (11.8% of total)

ival-sqrt: 2.0ms (11.8% of total)

adjust: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch54.0ms (0.5%)

Memory

4.3MiB live, 82.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	-2.467919639536414e-292	1.4868963065089512e-305

Samples

29.0ms	93×	0	invalid
13.0ms	176×	0	valid

Compiler

Compiled 232 to 163 computations (29.7% saved)

Precisions

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

ival-sub: 23.0ms (64.5% of total)

ival-mult: 8.0ms (22.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch67.0ms (0.6%)

Memory

-7.0MiB live, 67.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	-2.4065734519144535e-260	-2.1268690188737147e-270

Samples

48.0ms	159×	0	valid
5.0ms	68×	0	invalid
3.0ms	1×	1	valid

Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions

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

ival-mult: 5.0ms (42.7% of total)

ival-sub: 2.0ms (17.1% of total)

ival-sqrt: 2.0ms (17.1% of total)

ival-div: 1.0ms (8.5% of total)

ival-neg: 1.0ms (8.5% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

bsearch33.0ms (0.3%)

Memory

-9.7MiB live, 66.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-1.8302096266664949e-28	-2.620432034167534e-30

Samples

7.0ms	33×	2	valid
6.0ms	55×	0	valid
4.0ms	24×	1	valid
1.0ms	17×	0	invalid

Compiler

Compiled 114 to 97 computations (14.9% saved)

Precisions

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

ival-div: 4.0ms (29.1% of total)

ival-mult: 4.0ms (29.1% of total)

ival-sub: 2.0ms (14.5% of total)

ival-sqrt: 2.0ms (14.5% of total)

adjust: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify22.0ms (0.2%)

Memory

3.7MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary64`
42×	`*-commutative_binary64`
40×	`sub-neg_binary64`
32×	`neg-sub0_binary64`
32×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	105
1	75	105
2	106	105
3	141	105
4	160	105
5	174	105
6	180	105
7	183	105
8	184	105

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 210000000000000019844047154174595841517871737293766656 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -726257778211943/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -2557669082581787/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (neg.f64 (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -7564412771341587/2854495385411919762116571938898990272765493248 binary64)) #s(literal 0 binary64) (neg.f64 (/.f64 b a)))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b #s(literal -8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 210000000000000019844047154174595841517871737293766656 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 210000000000000019844047154174595841517871737293766656 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a))))) (.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -726257778211943/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -726257778211943/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -2557669082581787/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (neg.f64 (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -2557669082581787/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -7564412771341587/2854495385411919762116571938898990272765493248 binary64)) #s(literal 0 binary64) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -7564412771341587/2854495385411919762116571938898990272765493248 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
#s(literal 0 binary64)

soundness580.0ms (5.4%)

Memory

7.4MiB live, 689.0MiB allocated

Rules

9 868×	`accelerator-lowering-fma.f32`
9 868×	`accelerator-lowering-fma.f64`
7 984×	`-lowering-.f32`
7 984×	`-lowering-.f64`
7 150×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1370	11198
1	4505	10955
0	8158	10520
0	32	202
1	201	178
2	1837	175
0	8392	158
0	545	3114
1	1718	3085
2	5758	3046
0	8120	2886
0	24	68
1	136	55
0	1355	55

Stop Event

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

Compiler

Compiled 288 to 171 computations (40.6% saved)

preprocess66.0ms (0.6%)

Memory: 11.6MiB live, 163.5MiB allocated
Compiler: Compiled 488 to 178 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	47	105
1	75	105
2	106	105
3	141	105
4	160	105
5	174	105
6	180	105
7	183	105
8	184	105

Iter	Nodes	Cost
0	47	105
1	75	105
2	106	105
3	141	105
4	160	105
5	174	105
6	180	105
7	183	105
8	184	105

analyze139.0ms (1.3%)

sample1.8s (16.4%)

preprocess252.0ms (2.4%)

explain281.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify114.0ms (1.1%)

localize94.0ms (0.9%)

series22.0ms (0.2%)

rewrite301.0ms (2.8%)

simplify470.0ms (4.4%)

eval86.0ms (0.8%)

prune103.0ms (1%)

simplify450.0ms (4.2%)

localize153.0ms (1.4%)

series91.0ms (0.9%)

rewrite421.0ms (3.9%)

simplify601.0ms (5.6%)

eval322.0ms (3%)

prune266.0ms (2.5%)

simplify511.0ms (4.8%)

localize100.0ms (0.9%)

series12.0ms (0.1%)

rewrite85.0ms (0.8%)

simplify152.0ms (1.4%)

eval106.0ms (1%)

prune84.0ms (0.8%)

simplify365.0ms (3.4%)

localize67.0ms (0.6%)

series64.0ms (0.6%)

rewrite753.0ms (7%)

simplify345.0ms (3.2%)

eval389.0ms (3.6%)

prune416.0ms (3.9%)

regimes70.0ms (0.6%)

regimes20.0ms (0.2%)

regimes304.0ms (2.8%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch55.0ms (0.5%)

bsearch41.0ms (0.4%)

bsearch54.0ms (0.5%)

bsearch67.0ms (0.6%)

bsearch33.0ms (0.3%)

simplify22.0ms (0.2%)

soundness580.0ms (5.4%)

preprocess66.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	47	105
1	75	105
2	106	105
3	141	105
4	160	105
5	174	105
6	180	105
7	183	105
8	184	105