Metrics for quad2p (problem 3.2.1, positive)

analyze366.0ms (4.8%)

Memory

-51.2MiB live, 177.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (20.2%)

Memory

31.2MiB live, 1 333.5MiB allocated

Samples

496.0ms	5 502×	0	valid
322.0ms	1 241×	2	valid
169.0ms	1 335×	1	valid
84.0ms	1 086×	0	invalid
39.0ms	178×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 855.0ms

ival-mult: 318.0ms (37.2% of total)

ival-sqrt: 121.0ms (14.2% of total)

ival-div: 101.0ms (11.8% of total)

ival-sub: 100.0ms (11.7% of total)

adjust: 73.0ms (8.5% of total)

ival-neg: 66.0ms (7.7% of total)

ival-add: 64.0ms (7.5% of total)

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

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

Bogosity

preprocess114.0ms (1.5%)

Memory

3.5MiB live, 87.5MiB allocated

Algorithm

1×	egg-herbie

Rules

986×	`div-sub`
756×	`times-frac`
416×	`lower-fma.f64`
416×	`lower-fma.f32`
416×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	114	111
2	245	109
3	674	109
4	1757	109
5	3192	109
6	3780	109
7	3870	109
8	3962	109
9	3994	109
10	3994	109
0	10	13
0	17	13
1	28	12
2	45	12
3	74	12
4	113	12
5	189	12
6	319	12
7	464	12
8	807	12
9	920	12
10	952	12
11	963	12
12	964	12
0	964	12

Stop Event

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

Calls

Call 1

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

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

explain156.0ms (2.1%)

Memory

-17.5MiB live, 308.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
117	-	1	(8.23922803086917e-175 1.5171494168761902e-157 -2.329290452414055e-244)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
51	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
19	-	1	(-7.963508720843157e-292 2.563413214460843e+43 1.3584531380345406e+25)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	112	0
↳	`(*.f64 b_2 b_2)`	overflow	100
↳	`(*.f64 a c)`	overflow	18
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	112
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	51	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	18	0
↳	`(*.f64 b_2 b_2)`	underflow	37
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	32
↳	`(*.f64 a c)`	underflow	40
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	37
↳	`(*.f64 a c)`	underflow	40
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	100
↳	`(*.f64 a c)`	overflow	18

Confusion

	Predicted +	Predicted -
+	130	0
-	22	104

Precision

0.8552631578947368

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	22	0	104

Precision?

0.8552631578947368

Recall?

1.0

Freqs

test

number	freq
0	104
1	116
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms	348×	0	valid
16.0ms	82×	2	valid
14.0ms	68×	1	valid
4.0ms	14×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

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

ival-sqrt: 10.0ms (26% of total)

ival-mult: 8.0ms (20.8% of total)

ival-div: 5.0ms (13% of total)

ival-sub: 4.0ms (10.4% of total)

adjust: 4.0ms (10.4% of total)

ival-add: 4.0ms (10.4% of total)

ival-neg: 2.0ms (5.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize51.0ms (0.7%)

Memory

19.1MiB live, 93.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	93.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	57.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

16.0ms	34×	1	valid
13.0ms	174×	0	valid
8.0ms	41×	2	valid
2.0ms	7×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 4.0ms (23.8% of total)

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

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

ival-sub: 2.0ms (11.9% of total)

adjust: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

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

series22.0ms (0.3%)

Memory

-2.2MiB live, 41.8MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))>
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)>
#<alt (-.f64 (.f64 b_2 b_2) (.f64 a c))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	a	@	-inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	a	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	a	@	inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	b_2	@	0	(sqrt (- (* b_2 b_2) (* a c)))

rewrite223.0ms (2.9%)

Memory

-30.7MiB live, 403.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 984×	`lower-fma.f64`
3 984×	`lower-fma.f32`
2 962×	`lower-*.f32`
2 958×	`lower-*.f64`
1 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	17	39
1	64	37
2	463	37
3	5892	37
0	8615	33

Stop Event

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

Counts

4 → 417

Calls

Call 1

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

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

simplify398.0ms (5.2%)

Memory

48.0MiB live, 556.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 132×	`lower-*.f64`
7 132×	`lower-*.f32`
3 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3176
1	1606	3136
2	5518	3120
0	8783	2984

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

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

eval82.0ms (1.1%)

Memory: -25.8MiB live, 137.4MiB allocated
Compiler: Compiled 17 891 to 2 019 computations (88.7% saved)

prune102.0ms (1.3%)

Memory

2.3MiB live, 162.0MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	547	11	558
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	547	12	559

Accuracy

94.0%

Counts

559 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (fma.f64 a (.f64 (.f64 c (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 c #s(literal -1/2 binary64))) b_2)
	24.9%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	19.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	10.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a (.f64 a (.f64 c c))))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
▶	22.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	6.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))))) a)
▶	29.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
▶	32.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	40.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	40.8%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Compiler

Compiled 498 to 272 computations (45.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize100.0ms (1.3%)

Memory

-11.2MiB live, 147.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
✓	accuracy	94.1%	(sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	accuracy	94.1%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	86.4%	(sqrt.f64 (*.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Samples

52.0ms	182×	0	invalid
14.0ms	74×	0	valid

Compiler

Compiled 166 to 29 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 28.0ms (57.4% of total)

ival-mult: 9.0ms (18.4% of total)

ival-sqrt: 5.0ms (10.2% of total)

ival-add: 4.0ms (8.2% of total)

ival-neg: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

11.8MiB live, 50.2MiB allocated

Counts

15 → 372

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))>
#<alt (/.f64 b_2 a)>
#<alt (*.f64 b_2 #s(literal -2 binary64))>
#<alt (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)>
#<alt (sqrt.f64 (*.f64 b_2 b_2))>
#<alt (neg.f64 b_2)>
#<alt (*.f64 b_2 b_2)>
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))>
#<alt (sqrt.f64 (*.f64 a (neg.f64 c)))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)>
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))>
#<alt (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))>

Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))>
#<alt (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (sqrt -1)))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))>
#<alt (/ 1 (* a c))>
#<alt (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))>
#<alt (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)>
#<alt (/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)>
#<alt (/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (/ (* b_2 (- (sqrt -1) 1)) a)>
#<alt (* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))>
#<alt (* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))>
#<alt (* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))>
#<alt (* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))>
#<alt (/ (- (* b_2 (sqrt -1)) b_2) a)>
#<alt (/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)>
#<alt (/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)>
#<alt (/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (/ (- (* b_2 (sqrt -1)) b_2) a)>
#<alt (- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))>
#<alt (- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))>
#<alt (- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* a c))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* -1 (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (* -1 (* a c))>
#<alt (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))>
#<alt (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))>
#<alt (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (+ c (/ (pow b_2 2) a))))>
#<alt (* -1 (* a (+ c (/ (pow b_2 2) a))))>
#<alt (* -1 (* a (+ c (/ (pow b_2 2) a))))>
#<alt (* -1 (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (* -1 (* a c))>
#<alt (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))>
#<alt (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))>
#<alt (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (+ a (/ (pow b_2 2) c))))>
#<alt (* -1 (* c (+ a (/ (pow b_2 2) c))))>
#<alt (* -1 (* c (+ a (/ (pow b_2 2) c))))>

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)
3.0ms	c	@	0	(sqrt (* a (neg c)))
1.0ms	b_2	@	0	(sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))
1.0ms	a	@	-inf	(sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))
1.0ms	a	@	0	(sqrt (* a (neg c)))

rewrite67.0ms (0.9%)

Memory

31.2MiB live, 107.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

750×	`lower-fma.f32`
748×	`lower-fma.f64`
534×	`lower-*.f32`
524×	`lower-*.f64`
460×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	100
0	46	90
1	161	81
0	1085	81

Stop Event

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

Counts

15 → 241

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 a)))
(neg.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64)))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) b_2) #s(literal 1 binary64)) a)
(pow.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(.f64 b_2 (.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) b_2) (/.f64 #s(literal 1 binary64) a))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) b_2) a))
(.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b_2 (neg.f64 a)))
(neg.f64 (/.f64 b_2 (neg.f64 a)))
(neg.f64 (/.f64 (neg.f64 b_2) a))
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 b_2 #s(literal 1 binary64)) a)
(pow.f64 (/.f64 a b_2) #s(literal -1 binary64))
(*.f64 b_2 (/.f64 #s(literal 1 binary64) a))
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b_2
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(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2) a))
(.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2) (/.f64 #s(literal 1 binary64) a))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2))
(+.f64 (neg.f64 (.f64 a c)) (.f64 b_2 (neg.f64 b_2)))
(+.f64 (.f64 b_2 (neg.f64 b_2)) (neg.f64 (.f64 a c)))
(+.f64 (.f64 (.f64 b_2 b_2) #s(literal -1 binary64)) (.f64 (.f64 a c) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 a c) #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
(sqrt.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(fma.f64 b_2 (neg.f64 b_2) (neg.f64 (*.f64 a c)))
(fma.f64 a (neg.f64 c) (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (.f64 (*.f64 a c) #s(literal -1 binary64)))
(fma.f64 (neg.f64 b_2) b_2 (neg.f64 (*.f64 a c)))
(fma.f64 c (neg.f64 a) (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 (neg.f64 c) a (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (sqrt.f64 (neg.f64 (.f64 a c))) (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 #s(literal -1 binary64) (.f64 b_2 b_2) (neg.f64 (.f64 a c)))
(fma.f64 #s(literal -1 binary64) (.f64 a c) (.f64 b_2 (neg.f64 b_2)))
(fma.f64 (.f64 a c) #s(literal -1 binary64) (.f64 (*.f64 b_2 b_2) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 (.f64 (sqrt.f64 a) (sqrt.f64 a)) (.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 (neg.f64 c))) (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 (.f64 a #s(literal -1 binary64)) c (.f64 b_2 (neg.f64 b_2)))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)) (*.f64 b_2 (neg.f64 b_2)))
(fma.f64 (.f64 (neg.f64 b_2) (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (.f64 a c)))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c)))) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2))))))
(/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c))))
(/.f64 (neg.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))
(/.f64 (neg.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(pow.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))
(pow.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))
(.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))))
(.f64 (fma.f64 b_2 b_2 (.f64 a c)) #s(literal -1 binary64))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))

simplify358.0ms (4.7%)

Memory

-25.1MiB live, 502.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 712×	`lower-fma.f64`
8 712×	`lower-fma.f32`
6 318×	`lower-*.f64`
6 318×	`lower-*.f32`
2 718×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	4702
1	1795	4611
2	6022	4572
0	8086	4419

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 364

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
0
0
0
0
0
0
0
0
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(* b_2 (sqrt -1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(/ 1 (* a c))
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ 1 (pow b_2 2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ 1 (pow b_2 2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)
(/ 1 (* a c))
(* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(/ 1 (* a c))
(* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (* b_2 (- (sqrt -1) 1)) a)
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(/ (- (* b_2 (sqrt -1)) b_2) a)
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* a c))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (* a c))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* -1 (* a c))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (* a c))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* -1 (* a c))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(* -1 (* c (+ a (/ (pow b_2 2) c))))

Outputs
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
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(.f64 b_2 (.f64 b_2 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(*.f64 (fma.f64 b_2 (/.f64 b_2 a) c) (neg.f64 a))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(*.f64 (fma.f64 b_2 (/.f64 b_2 a) c) (neg.f64 a))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(*.f64 (fma.f64 b_2 (/.f64 b_2 a) c) (neg.f64 a))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(*.f64 (fma.f64 b_2 (/.f64 b_2 a) c) (neg.f64 a))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(*.f64 (fma.f64 b_2 (/.f64 b_2 a) c) (neg.f64 a))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(*.f64 (fma.f64 b_2 (/.f64 b_2 a) c) (neg.f64 a))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(*.f64 (neg.f64 c) (fma.f64 b_2 (/.f64 b_2 c) a))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(*.f64 (neg.f64 c) (fma.f64 b_2 (/.f64 b_2 c) a))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(*.f64 (neg.f64 c) (fma.f64 b_2 (/.f64 b_2 c) a))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(*.f64 (neg.f64 c) (fma.f64 b_2 (/.f64 b_2 c) a))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(*.f64 (neg.f64 c) (fma.f64 b_2 (/.f64 b_2 c) a))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(*.f64 (neg.f64 c) (fma.f64 b_2 (/.f64 b_2 c) a))

eval61.0ms (0.8%)

Memory: 13.7MiB live, 125.6MiB allocated
Compiler: Compiled 9 971 to 1 330 computations (86.7% saved)

prune61.0ms (0.8%)

Memory

-1.9MiB live, 117.9MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	630	13	643
Fresh	4	2	6
Picked	4	1	5
Done	0	1	1
Total	638	17	655

Accuracy

96.8%

Counts

655 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(/.f64 (fma.f64 (pow.f64 (.f64 b_2 b_2) #s(literal 1/4 binary64)) (pow.f64 (.f64 b_2 b_2) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
▶	17.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	33.6%	(/.f64 (fma.f64 a (.f64 (.f64 c (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 c #s(literal -1/2 binary64))) b_2)
	31.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) a)
▶	29.6%	(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c))))))
	32.6%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	27.0%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) #s(literal 1/2 binary64)))) a)
	31.4%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))) a)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	40.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	16.7%	(/.f64 (neg.f64 b_2) a)
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
▶	12.6%	(/.f64 #s(literal 0 binary64) a)
▶	40.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
▶	40.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)

Compiler

Compiled 444 to 286 computations (35.6% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize80.0ms (1.1%)

Memory

-19.0MiB live, 121.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))
✓	accuracy	99.3%	(-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))
✓	accuracy	93.2%	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	accuracy	91.7%	(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c))))))
✓	accuracy	100.0%	(neg.f64 c)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))
✓	accuracy	100.0%	(/.f64 a b_2)
✓	accuracy	99.4%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
✓	accuracy	100.0%	(/.f64 #s(literal 0 binary64) a)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)

Samples

40.0ms	177×	0	invalid
14.0ms	79×	0	valid

Compiler

Compiled 126 to 27 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 11.0ms (36% of total)

ival-mult: 8.0ms (26.1% of total)

ival-sqrt: 4.0ms (13.1% of total)

ival-neg: 3.0ms (9.8% of total)

ival-sub: 2.0ms (6.5% of total)

ival-add: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

6.9MiB live, 45.6MiB allocated

Counts

13 → 324

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)>
#<alt (/.f64 #s(literal -2 binary64) a)>
#<alt (/.f64 #s(literal 0 binary64) a)>
#<alt (/.f64 #s(literal -2 binary64) (/.f64 a b_2))>
#<alt (/.f64 a b_2)>
#<alt (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))>
#<alt (/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)>
#<alt (neg.f64 b_2)>
#<alt (neg.f64 c)>
#<alt (/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c))))))>
#<alt (sqrt.f64 (neg.f64 (*.f64 a c)))>
#<alt (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))>
#<alt (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))>

Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_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)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (* a (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))>
#<alt (* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (+ (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) (pow b_2 3))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- (+ c (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) b_2)))) (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))>
#<alt (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)>
#<alt (/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)>
#<alt (/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a)>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) a)>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))>
#<alt (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))>
#<alt (+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))>
#<alt (+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))>
#<alt (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a c)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (* -1 (* a b_2))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* a b_2))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>

Calls

81 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	-inf	(/ (- (* b_2 b_2) (neg (* a c))) (* a (- (neg b_2) (sqrt (neg (* a c))))))
3.0ms	a	@	inf	(/ (- (* b_2 b_2) (neg (* a c))) (* a (- (neg b_2) (sqrt (neg (* a c))))))
1.0ms	c	@	inf	(/ (- (* b_2 b_2) (neg (* a c))) (* a (- (neg b_2) (sqrt (neg (* a c))))))
1.0ms	c	@	-inf	(/ (- (* b_2 b_2) (neg (* a c))) (* a (- (neg b_2) (sqrt (neg (* a c))))))
1.0ms	b_2	@	0	(/ (- (* b_2 b_2) (neg (* a c))) (* a (- (neg b_2) (sqrt (neg (* a c))))))

rewrite278.0ms (3.7%)

Memory

19.4MiB live, 365.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 888×	`lower-fma.f32`
3 886×	`lower-fma.f64`
3 788×	`lower-*.f32`
3 780×	`lower-*.f64`
3 262×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	83
0	44	69
1	149	68
2	1065	66
0	9677	65

Stop Event

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

Counts

13 → 908

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal -2 binary64) a)
(/.f64 #s(literal 0 binary64) a)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 a b_2)
(fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
(neg.f64 b_2)
(neg.f64 c)
(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c))))))
(sqrt.f64 (neg.f64 (*.f64 a c)))
(-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))
(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))

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

simplify386.0ms (5.1%)

Memory

-7.3MiB live, 506.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 764×	`lower-fma.f64`
9 764×	`lower-fma.f32`
5 352×	`lower-*.f64`
5 352×	`lower-*.f32`
2 880×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	3624
1	1025	3408
2	3577	3260
0	8693	3138

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ 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)
0
0
0
0
0
0
0
0
0
0
0
0
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (+ (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) (pow b_2 3))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- (+ c (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) b_2)))) (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))))
(* (sqrt (/ c a)) (sqrt -1))
(- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(* -1 (* a b_2))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* a b_2))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))

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

eval131.0ms (1.7%)

Memory: 41.7MiB live, 295.5MiB allocated
Compiler: Compiled 33 268 to 2 251 computations (93.2% saved)

prune204.0ms (2.7%)

Memory

-40.4MiB live, 328.5MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1 250	16	1 266
Fresh	5	5	10
Picked	2	3	5
Done	0	2	2
Total	1 257	26	1 283

Accuracy

99.8%

Counts

1 283 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.6%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (neg.f64 (.f64 c c)) (/.f64 #s(literal 1 binary64) c))) (sqrt.f64 a) (neg.f64 b_2)) a)
✓	17.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	15.1%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2) a)
	13.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) b_2) a)
	33.6%	(/.f64 (fma.f64 a (.f64 (.f64 c (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 c #s(literal -1/2 binary64))) b_2)
	23.0%	(/.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)
▶	40.7%	(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))
	32.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	40.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	28.3%	(/.f64 (.f64 a c) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))
	2.2%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) (*.f64 (neg.f64 a) b_2))
	16.7%	(/.f64 (neg.f64 b_2) a)
	2.2%	(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
▶	2.2%	(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
✓	40.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	2.2%	(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b_2 a)))
	40.6%	(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
	32.6%	(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) (/.f64 b_2 a))
	29.2%	(.f64 (fma.f64 a c (.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) (.f64 a (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))
▶	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
✓	40.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	2.2%	(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
▶	12.6%	#s(literal 0 binary64)

Compiler

Compiled 571 to 393 computations (31.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize66.0ms (0.9%)

Memory

11.8MiB live, 129.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	99.9%	(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))
✓	accuracy	87.4%	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	accuracy	87.4%	(/.f64 (.f64 a c) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))
✓	accuracy	100.0%	(neg.f64 (*.f64 a c))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
✓	accuracy	87.4%	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	accuracy	100.0%	(/.f64 a b_2)
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b_2)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))

Samples

25.0ms	161×	0	valid
14.0ms	95×	0	invalid

Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 11.0ms (46.6% of total)

ival-mult: 4.0ms (16.9% of total)

ival-sub: 3.0ms (12.7% of total)

ival-sqrt: 2.0ms (8.5% of total)

ival-neg: 2.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

12 → 300

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))>
#<alt (/.f64 #s(literal -2 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) b_2)>
#<alt (/.f64 #s(literal 2 binary64) (/.f64 a b_2))>
#<alt (/.f64 a b_2)>
#<alt (sqrt.f64 (neg.f64 (*.f64 a c)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))>
#<alt (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)>
#<alt (neg.f64 (*.f64 a c))>
#<alt (/.f64 (.f64 a c) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))>
#<alt (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))>
#<alt (neg.f64 b_2)>

Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_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)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (/ 1 b_2)>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (/ a b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) a)>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2)))) a)>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (/ b_2 (pow (sqrt -1) 2)) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a (pow b_2 3)) c))) a))) a))) a))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))>
#<alt (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ (pow b_2 3) (* (pow a 2) (* c (pow (sqrt -1) 4))))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b_2 3) c) (pow a 2)) (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (pow (sqrt -1) 3)))) (/ 1 (* a (pow (sqrt -1) 2))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (/ b_2 (* (pow a 2) (* c (pow (sqrt -1) 4)))))) (/ 1 (* a (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ c b_2))>
#<alt (/ (+ (* -1 c) (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2))) b_2)>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 2))) (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2)))) b_2)>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 2))) (+ (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2)) (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -1) 3) (pow b_2 3)))))) b_2)>
#<alt (* -1 (/ c b_2))>
#<alt (* -1 (/ (+ c (* -1 (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2)))) b_2))>
#<alt (* -1 (/ (+ c (* -1 (/ (- (* -1 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) b_2)) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -1)))) b_2))) b_2))>
#<alt (* -1 (/ (+ c (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -1) 3) b_2))) (* -1 (* a (* (pow c 2) (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -1)))) b_2))) b_2))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (* -1 (* a b_2))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* a b_2))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/ (* a c) (* a (- (neg b_2) (sqrt (neg (* a c))))))
1.0ms	c	@	0	(/ (* a c) (* a (- (neg b_2) (sqrt (neg (* a c))))))
1.0ms	a	@	0	(/ (* a c) (* a (- (neg b_2) (sqrt (neg (* a c))))))
1.0ms	c	@	inf	(/ (* a c) (* a (- (neg b_2) (sqrt (neg (* a c))))))
1.0ms	b_2	@	inf	(/ (* a c) (* a (- (neg b_2) (sqrt (neg (* a c))))))

rewrite261.0ms (3.4%)

Memory

-39.5MiB live, 279.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 994×	`lower-*.f32`
3 988×	`lower-*.f64`
3 576×	`lower-fma.f64`
3 576×	`lower-fma.f32`
3 076×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	36	76
1	133	68
2	865	63
0	9652	63

Stop Event

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

Counts

12 → 964

Calls

Call 1

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

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

simplify394.0ms (5.2%)

Memory

-12.6MiB live, 490.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 776×	`lower-fma.f64`
8 776×	`lower-fma.f32`
5 050×	`lower-*.f64`
5 050×	`lower-*.f32`
3 384×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	2869
1	832	2719
2	2788	2672
3	7415	2664
0	8855	2593

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ 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)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (/ b_2 (pow (sqrt -1) 2)) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a (pow b_2 3)) c))) a))) a))) a))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ (pow b_2 3) (* (pow a 2) (* c (pow (sqrt -1) 4))))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b_2 3) c) (pow a 2)) (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (pow (sqrt -1) 3)))) (/ 1 (* a (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (/ b_2 (* (pow a 2) (* c (pow (sqrt -1) 4)))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(* -1 (/ c b_2))
(/ (+ (* -1 c) (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2))) b_2)
(/ (+ (* -1 c) (+ (* -1 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 2))) (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2)))) b_2)
(/ (+ (* -1 c) (+ (* -1 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 2))) (+ (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2)) (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -1) 3) (pow b_2 3)))))) b_2)
(* -1 (/ c b_2))
(* -1 (/ (+ c (* -1 (* (sqrt (* a (pow c 3))) (/ (sqrt -1) b_2)))) b_2))
(* -1 (/ (+ c (* -1 (/ (- (* -1 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) b_2)) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -1)))) b_2))) b_2))
(* -1 (/ (+ c (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -1) 3) b_2))) (* -1 (* a (* (pow c 2) (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -1)))) b_2))) b_2))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(* -1 (* a b_2))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* a b_2))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)

Outputs
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* 2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(/ a b_2)
(/.f64 a b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
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(.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2) (neg.f64 a))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2) (neg.f64 a))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2) (neg.f64 a))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2) (neg.f64 a))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a (.f64 a (.f64 a c)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 a (/.f64 b_2 c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 a (/.f64 b_2 c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 a (/.f64 b_2 c))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a (.f64 a (.f64 a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 b_2 c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 b_2 c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 b_2 c))))
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)

eval188.0ms (2.5%)

Memory: 11.0MiB live, 359.4MiB allocated
Compiler: Compiled 25 683 to 2 743 computations (89.3% saved)

prune243.0ms (3.2%)

Memory

1.2MiB live, 451.9MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 409	11	1 420
Fresh	9	7	16
Picked	2	3	5
Done	0	5	5
Total	1 420	26	1 446

Accuracy

99.8%

Counts

1 446 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.1%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)) (/.f64 b_2 a))
✓	17.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	15.1%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2) a)
	13.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) b_2) a)
	33.6%	(/.f64 (fma.f64 a (.f64 (.f64 c (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 c #s(literal -1/2 binary64))) b_2)
✓	40.7%	(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))
	32.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.2%	(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
	25.2%	(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
	2.2%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	40.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	26.5%	(/.f64 (.f64 a c) (.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) a))
	30.9%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
	16.7%	(/.f64 (neg.f64 b_2) a)
	28.4%	(/.f64 c (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
	15.8%	(/.f64 c (neg.f64 b_2))
✓	2.2%	(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
	2.2%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 a)))
✓	40.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	40.6%	(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
	21.7%	(.f64 (/.f64 c (.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) a)
	2.2%	(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
✓	40.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	12.6%	#s(literal 0 binary64)

Compiler

Compiled 899 to 377 computations (58.1% saved)

regimes62.0ms (0.8%)

Memory

14.6MiB live, 133.6MiB allocated

Counts

52 → 3

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	a
15.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
15.0ms	b_2
14.0ms	c

Results

Accuracy	Segments	Branch
53.8%	2	`a`
88.8%	3	`b_2`
51.1%	1	`c`
75.8%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes10.0ms (0.1%)

Memory

-20.6MiB live, 18.4MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c (neg.f64 b_2))
(/.f64 (neg.f64 b_2) a)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) (*.f64 (neg.f64 a) b_2))
(/.f64 c (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b_2 a)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 a)))
(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))

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

Calls

1 calls:

9.0ms

b_2

Results

Accuracy	Segments	Branch
84.3%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c (neg.f64 b_2))
(/.f64 (neg.f64 b_2) a)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) (*.f64 (neg.f64 a) b_2))
(/.f64 c (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b_2 a)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 a)))

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
84.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c (neg.f64 b_2))
(/.f64 (neg.f64 b_2) a)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) (*.f64 (neg.f64 a) b_2))
(/.f64 c (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
84.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-27.3MiB live, 14.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c (neg.f64 b_2))
(/.f64 (neg.f64 b_2) a)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (.f64 b_2 b_2) (.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) (*.f64 (neg.f64 a) b_2))

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
72.5%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c (neg.f64 b_2))
(/.f64 (neg.f64 b_2) a)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)

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

Calls

2 calls:

4.0ms	b_2
3.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
44.3%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
54.1%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.1%)

Memory

-19.7MiB live, 19.3MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c (neg.f64 b_2))
(/.f64 (neg.f64 b_2) a)

Outputs
(/.f64 (neg.f64 b_2) a)
(/.f64 c (neg.f64 b_2))

Calls

4 calls:

3.0ms	c
2.0ms	a
2.0ms	b_2
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
19.3%	2	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
21.5%	3	`c`
19.5%	2	`a`
30.0%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c (neg.f64 b_2))

Outputs
(/.f64 c (neg.f64 b_2))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
15.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
15.8%	1	`a`
15.8%	1	`c`
15.8%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes8.0ms (0.1%)

Memory

-20.8MiB live, 18.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

4 calls:

3.0ms	b_2
1.0ms	c
1.0ms	a
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
12.6%	1	`b_2`
12.6%	1	`c`
12.6%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
12.6%	1	`a`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch29.0ms (0.4%)

Memory

11.9MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
21.0ms	4.870203929126949e-159	1.5171494168761902e-157
5.0ms	-3.685071853913038e+96	-1.330344778664814e+96

Samples

12.0ms	136×	0	valid
3.0ms	50×	0	invalid
3.0ms	23×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 279 to 196 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (31.5% of total)

ival-div: 2.0ms (21% of total)

ival-sqrt: 2.0ms (21% of total)

ival-add: 1.0ms (10.5% of total)

ival-sub: 1.0ms (10.5% of total)

ival-neg: 1.0ms (10.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch70.0ms (0.9%)

Memory

-2.1MiB live, 74.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5813359276905974e-110	2.69236542372738e-109
25.0ms	-2.75452987955398e-134	-1.6888589483046944e-140

Samples

21.0ms	221×	0	valid
6.0ms	85×	0	invalid
3.0ms	21×	1	valid
2.0ms	14×	2	valid

Compiler

Compiled 387 to 288 computations (25.6% saved)

Precisions

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

ival-neg: 8.0ms (35.7% of total)

ival-mult: 4.0ms (17.9% of total)

ival-sqrt: 3.0ms (13.4% of total)

ival-div: 2.0ms (8.9% of total)

ival-sub: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% of total)

adjust: 1.0ms (4.5% of total)

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

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

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.870203929126949e-159	1.5171494168761902e-157
1.0ms	-2.75452987955398e-134	-1.6888589483046944e-140

Compiler

Compiled 371 to 272 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.870203929126949e-159	1.5171494168761902e-157
1.0ms	-2.75452987955398e-134	-1.6888589483046944e-140

Compiler

Compiled 371 to 272 computations (26.7% saved)

bsearch17.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1539931382323496e-305	8.80023919748145e-305

Samples

6.0ms	96×	0	valid
4.0ms	57×	0	invalid

Compiler

Compiled 127 to 100 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (33.3% of total)

ival-sub: 1.0ms (16.6% of total)

ival-div: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

ival-sqrt: 1.0ms (16.6% of total)

ival-neg: 1.0ms (16.6% of total)

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1539931382323496e-305	8.80023919748145e-305

Compiler

Compiled 121 to 94 computations (22.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1539931382323496e-305	8.80023919748145e-305

Compiler

Compiled 115 to 88 computations (23.5% saved)

simplify34.0ms (0.4%)

Memory

-22.3MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
26×	`*-commutative_binary64`
24×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	157
1	81	156
2	108	156
3	124	156
4	132	156
5	133	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 c (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 4743802811890093/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 4743802811890093/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 c (neg.f64 b_2)))
(if (<=.f64 b_2 #s(literal 4743802811890093/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (neg.f64 b_2) a) (/.f64 c (neg.f64 b_2)))
(/.f64 c (neg.f64 b_2))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 c (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 c (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 4743802811890093/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 4743802811890093/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 c (neg.f64 b_2)))
(if (<=.f64 b_2 #s(literal 4743802811890093/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (neg.f64 b_2) a) (/.f64 c (neg.f64 b_2)))
(if (<=.f64 b_2 #s(literal 4743802811890093/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (neg.f64 (/.f64 b_2 a)) (/.f64 c (neg.f64 b_2)))
(/.f64 c (neg.f64 b_2))
#s(literal 0 binary64)

soundness1.2s (16.3%)

Memory

12.7MiB live, 784.8MiB allocated

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
9 764×	`lower-fma.f64`
9 764×	`lower-fma.f32`
8 776×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	36	76
1	133	68
2	865	63
0	9652	63
0	310	3624
1	1025	3408
2	3577	3260
0	8693	3138
0	26	100
0	46	90
1	161	81
0	1085	81
0	24	83
0	44	69
1	149	68
2	1065	66
0	9677	65
0	508	3176
1	1606	3136
2	5518	3120
0	8783	2984
0	267	2869
1	832	2719
2	2788	2672
3	7415	2664
0	8855	2593
0	570	4702
1	1795	4611
2	6022	4572
0	8086	4419

Stop Event

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

Compiler

Compiled 519 to 296 computations (43% saved)

preprocess66.0ms (0.9%)

Memory: -12.9MiB live, 184.6MiB allocated
Compiler: Compiled 534 to 170 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze366.0ms (4.8%)

sample1.5s (20.2%)

preprocess114.0ms (1.5%)

explain156.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize51.0ms (0.7%)

series22.0ms (0.3%)

rewrite223.0ms (2.9%)

simplify398.0ms (5.2%)

eval82.0ms (1.1%)

prune102.0ms (1.3%)

simplify0.0ms (0%)

localize100.0ms (1.3%)

series34.0ms (0.4%)

rewrite67.0ms (0.9%)

simplify358.0ms (4.7%)

eval61.0ms (0.8%)

prune61.0ms (0.8%)

simplify0.0ms (0%)

localize80.0ms (1.1%)

series27.0ms (0.4%)

rewrite278.0ms (3.7%)

simplify386.0ms (5.1%)

eval131.0ms (1.7%)

prune204.0ms (2.7%)

simplify0.0ms (0%)

localize66.0ms (0.9%)

series11.0ms (0.2%)

rewrite261.0ms (3.4%)

simplify394.0ms (5.2%)

eval188.0ms (2.5%)

prune243.0ms (3.2%)

regimes62.0ms (0.8%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch29.0ms (0.4%)

bsearch70.0ms (0.9%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify34.0ms (0.4%)

soundness1.2s (16.3%)

preprocess66.0ms (0.9%)

end0.0ms (0%)

Profiling