Metrics for quadp (p42, positive)

analyze143.0ms (1.7%)

Memory

14.8MiB live, 170.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.5s (17.5%)

Memory

51.6MiB live, 1 373.5MiB allocated

Samples

496.0ms	5 627×	0	valid
294.0ms	1 172×	2	valid
174.0ms	1 294×	1	valid
84.0ms	939×	0	invalid
40.0ms	163×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 789.0ms

ival-mult: 252.0ms (31.9% of total)

adjust: 137.0ms (17.4% of total)

ival-sqrt: 103.0ms (13% of total)

ival-div: 88.0ms (11.1% of total)

ival-sub: 76.0ms (9.6% of total)

ival-add: 67.0ms (8.5% of total)

ival-neg: 45.0ms (5.7% of total)

exact: 10.0ms (1.3% of total)

ival-true: 7.0ms (0.9% of total)

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

Bogosity

preprocess173.0ms (2%)

Memory

-16.6MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 552×	`div-sub`
1 398×	`sub-neg`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	161	144
2	421	144
3	1232	144
4	3210	144
5	6085	144
6	7810	144
0	14	17
0	23	17
1	41	16
2	74	16
3	156	16
4	232	16
5	370	16
6	654	16
7	1120	16
8	2222	16
9	2514	16
10	2639	16
11	2694	16
12	2695	16
13	2695	16
14	2701	16
0	2701	15

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain218.0ms (2.6%)

Memory

2.7MiB live, 235.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
105	0	-	1	(8.23922803086917e-175 1.5171494168761902e-157 -2.329290452414055e-244)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
49	1	(1.1907459221903484e-110 5.5490185900863924e-86 -3.061392890364425e-299)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
14	0	-	1	(1.1907459221903484e-110 5.5490185900863924e-86 -3.061392890364425e-299)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
1	0	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	0	-	0	-	`a`
0	0	-	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	99	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	17
↳	`(*.f64 a c)`	overflow	17
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	99
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	50	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	13	0
↳	`(*.f64 b b)`	underflow	38
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	43
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	26
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	5	0
↳	`(*.f64 b b)`	underflow	38
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	43
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	1	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	17
↳	`(*.f64 a c)`	overflow	17

Confusion

	Predicted +	Predicted -
+	113	0
-	26	117

Precision

0.8129496402877698

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	0
-	26	0	117

Precision?

0.8129496402877698

Recall?

1.0

Freqs

test

number	freq
0	117
1	110
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	364×	0	valid
20.0ms	88×	2	valid
8.0ms	48×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

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

ival-mult: 13.0ms (32.2% of total)

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

adjust: 5.0ms (12.4% of total)

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

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

ival-sub: 4.0ms (9.9% of total)

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

exact: 1.0ms (2.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize71.0ms (0.8%)

Memory

-20.9MiB live, 72.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
✓	accuracy	94.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	82.6%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓	accuracy	62.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

16.0ms	182×	0	valid
10.0ms	44×	2	valid
4.0ms	24×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

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

ival-div: 3.0ms (15.1% of total)

ival-sqrt: 3.0ms (15.1% of total)

ival-sub: 2.0ms (10.1% of total)

adjust: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

ival-neg: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite279.0ms (3.3%)

Memory

-3.1MiB live, 384.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 852×	`lower-fma.f64`
4 852×	`lower-fma.f32`
3 908×	`lower-*.f32`
3 900×	`lower-*.f64`
2 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	23	49
1	77	47
2	534	47
3	6867	47
0	8160	43

Stop Event

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

Counts

4 → 409

Calls

Call 1

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

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

simplify419.0ms (4.9%)

Memory

3.3MiB live, 479.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
2 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3249
1	1738	3208
2	6090	3180
0	8252	3023

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.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 b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(.f64 b (fma.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(fma.f64 b (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b))))) b)
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) (.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))))) b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(neg.f64 (.f64 b (fma.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) b) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(.f64 a (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
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eval74.0ms (0.9%)

Memory: 22.6MiB live, 137.4MiB allocated
Compiler: Compiled 21 498 to 1 948 computations (90.9% saved)

prune89.0ms (1%)

Memory

3.1MiB live, 202.4MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	531	19	550
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	532	19	551

Accuracy

92.9%

Counts

551 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.1%	(fma.f64 a (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b))
▶	25.8%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))))
	22.7%	(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 a (.f64 c (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (neg.f64 (fma.f64 (.f64 c c) (/.f64 a (*.f64 b b)) c))) b)
	19.0%	(/.f64 (/.f64 (fma.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 b (.f64 b b))) (.f64 a #s(literal 2 binary64))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))) (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64)))))
	34.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))))
	47.2%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	57.1%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	35.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	54.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) (*.f64 #s(literal 2 binary64) a))
	34.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	26.2%	(/.f64 (.f64 a (/.f64 (.f64 c #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	28.0%	(/.f64 (neg.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	31.3%	(/.f64 (neg.f64 c) b)
▶	41.2%	(/.f64 b (neg.f64 a))
	34.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))))
▶	34.7%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
	40.5%	(-.f64 (.f64 b (/.f64 c (.f64 b b))) (/.f64 b a))
▶	57.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64))))))
	21.6%	(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) c) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 a b))) (/.f64 a (.f64 b (.f64 b (neg.f64 b))))) (/.f64 #s(literal -1 binary64) b)))

Compiler

Compiled 860 to 498 computations (42.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize197.0ms (2.3%)

Memory

-16.5MiB live, 269.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))))
✓	accuracy	78.7%	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))
✓	accuracy	77.1%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
✓	accuracy	92.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)
✓	accuracy	78.7%	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))
✓	accuracy	100.0%	(*.f64 c #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	88.3%	(.f64 a (/.f64 (.f64 c #s(literal -2 binary64)) b))
✓	accuracy	83.3%	(/.f64 (.f64 a (/.f64 (.f64 c #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(/.f64 b (neg.f64 a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.6%	(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	accuracy	94.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64))))))
✓	accuracy	82.6%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))

Samples

56.0ms	91×	2	valid
45.0ms	62×	1	valid
19.0ms	21×	3	valid
18.0ms	82×	0	valid

Compiler

Compiled 306 to 34 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 47.0ms (50.6% of total)

ival-div: 17.0ms (18.3% of total)

adjust: 10.0ms (10.8% of total)

ival-add: 9.0ms (9.7% of total)

ival-sqrt: 5.0ms (5.4% of total)

ival-sub: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

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

series71.0ms (0.8%)

Memory

11.0MiB live, 130.1MiB allocated

Counts

15 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))
4.0ms	c	@	inf	(* (/ 1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
4.0ms	a	@	0	(* (* a 2) (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
4.0ms	c	@	0	(/ (* a (/ (* c -2) b)) (* 2 a))
2.0ms	c	@	inf	(/ (+ (* b b) (+ (* b b) (* (* a c) -4))) (* (* a 2) (+ b (sqrt (+ (* b b) (* (* a c) -4))))))

rewrite333.0ms (3.9%)

Memory

-25.4MiB live, 469.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 712×	`lower-*.f32`
4 694×	`lower-*.f64`
4 468×	`lower-/.f32`
4 454×	`lower-/.f64`
4 124×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	158
0	54	158
1	197	154
2	1376	148
0	8400	147

Stop Event

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

Counts

15 → 791

Calls

Call 1

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

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

simplify429.0ms (5.1%)

Memory

16.7MiB live, 568.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 952×	`lower-*.f64`
7 952×	`lower-*.f32`
6 632×	`lower-fma.f64`
6 632×	`lower-fma.f32`
4 250×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1448	9814
1	4874	9452
0	8750	9063

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

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

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

eval327.0ms (3.9%)

Memory: 30.6MiB live, 405.9MiB allocated
Compiler: Compiled 58 859 to 4 814 computations (91.8% saved)

prune507.0ms (6%)

Memory

-13.6MiB live, 398.2MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 761	21	1 782
Fresh	9	5	14
Picked	3	2	5
Done	0	0	0
Total	1 773	28	1 801

Accuracy

93.0%

Counts

1 801 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.1%	(fma.f64 #s(literal 1/2 binary64) (/.f64 b a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
	25.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))
	34.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	40.1%	(/.f64 (.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) a))
	2.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (.f64 a (/.f64 c b)))) a)
	28.0%	(/.f64 (neg.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	31.3%	(/.f64 (neg.f64 c) b)
	10.3%	(/.f64 c b)
	31.7%	(/.f64 b (/.f64 (neg.f64 (*.f64 a a)) a))
	41.2%	(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))
	31.6%	(/.f64 b (.f64 (neg.f64 (.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
✓	41.2%	(/.f64 b (neg.f64 a))
▶	2.2%	(/.f64 b a)
▶	2.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
	10.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) c))
	34.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))))
▶	24.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
	2.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b #s(literal 2 binary64))) a))
▶	40.5%	(-.f64 (.f64 b (/.f64 c (.f64 b b))) (/.f64 b a))
	24.5%	(.f64 (/.f64 (.f64 a (*.f64 c #s(literal 2 binary64))) b) (/.f64 #s(literal -1/2 binary64) a))
	26.0%	(.f64 (/.f64 (.f64 a c) (*.f64 b a)) #s(literal -1 binary64))
	41.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c #s(literal -4 binary64))))))))
✓	57.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64))))))
	34.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
▶	54.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))
	41.1%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	7.5%	(.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (*.f64 b b))))
	7.7%	(.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (*.f64 b b))))

Compiler

Compiled 825 to 547 computations (33.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize162.0ms (1.9%)

Memory

-14.5MiB live, 183.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))) a)
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
✓	accuracy	83.5%	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(-.f64 (.f64 b (/.f64 c (.f64 b b))) (/.f64 b a))
✓	accuracy	89.9%	(/.f64 c (*.f64 b b))
✓	accuracy	87.6%	(.f64 b (/.f64 c (.f64 b b)))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	95.6%	(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
✓	accuracy	90.7%	(/.f64 (*.f64 b b) a)
✓	accuracy	90.6%	(-.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))
✓	accuracy	76.5%	(sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))

Samples

81.0ms	132×	0	valid
25.0ms	83×	0	invalid
11.0ms	23×	2	valid
5.0ms	14×	1	valid
2.0ms	4×	3	valid

Compiler

Compiled 201 to 32 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 66.0ms (70% of total)

ival-mult: 14.0ms (14.8% of total)

ival-sqrt: 6.0ms (6.4% of total)

ival-sub: 3.0ms (3.2% of total)

ival-add: 3.0ms (3.2% of total)

adjust: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series37.0ms (0.4%)

Memory

19.3MiB live, 60.0MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(/ 1/2 (* (/ 1 (+ b (sqrt (* (* a c) -4)))) a))
1.0ms	a	@	-inf	(sqrt (* a (+ (* c -4) (/ (* b b) a))))
1.0ms	c	@	0	(/ 1/2 (* (/ 1 (+ b (sqrt (* (* a c) -4)))) a))
1.0ms	a	@	0	(sqrt (* (* a c) -4))
1.0ms	b	@	0	(/ 1/2 (* (/ 1 (+ b (sqrt (* (* a c) -4)))) a))

rewrite109.0ms (1.3%)

Memory

-23.0MiB live, 93.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

820×	`lower-*.f32`
806×	`lower-*.f64`
712×	`lower-/.f32`
698×	`lower-/.f64`
672×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	125
0	47	121
1	184	117
0	1317	117

Stop Event

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

Counts

16 → 253

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))
(pow.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))
(.f64 (pow.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) #s(literal 1/4 binary64)) (pow.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) #s(literal 1/4 binary64)))
(+.f64 b (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))))
(+.f64 (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) b)
(-.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))) (/.f64 (.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))))
(-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))) (/.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (+.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) b)
(fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))) b)
(fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) b)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) (-.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) (-.f64 (.f64 b b) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))
(/.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))
(/.f64 (-.f64 (.f64 b b) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (+.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) (neg.f64 (+.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))))
(/.f64 (fma.f64 b (.f64 b b) (pow.f64 (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))) (.f64 b (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))))))
(/.f64 (-.f64 (.f64 b b) (.f64 (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))) (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))))))) (-.f64 b (neg.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))))
(.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))))
(.f64 (-.f64 (.f64 b b) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))))))
(neg.f64 (/.f64 (*.f64 b b) (neg.f64 a)))
(neg.f64 (/.f64 (*.f64 b (neg.f64 b)) a))
(/.f64 b (/.f64 a b))
(/.f64 (*.f64 b b) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b b))))
(/.f64 (*.f64 b (neg.f64 b)) (neg.f64 a))
(/.f64 (.f64 (.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (neg.f64 (*.f64 b (neg.f64 b))) (neg.f64 (neg.f64 a)))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b (/.f64 b a))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) b)
(.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) a))
(.f64 (.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b b))
(+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (/.f64 (.f64 (.f64 b b) a) a))
(+.f64 (/.f64 (.f64 (.f64 b b) a) a) (.f64 a (.f64 c #s(literal -4 binary64))))
(sqrt.f64 (.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))
(fma.f64 a (/.f64 (.f64 b b) a) (.f64 a (*.f64 c #s(literal -4 binary64))))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 c (.f64 #s(literal -4 binary64) a) (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 b (.f64 (/.f64 b a) a) (.f64 a (*.f64 c #s(literal -4 binary64))))
(fma.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) a) a) (.f64 a (.f64 c #s(literal -4 binary64))))
(fma.f64 (/.f64 (.f64 b b) a) a (.f64 a (*.f64 c #s(literal -4 binary64))))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) (/.f64 (.f64 (.f64 b b) a) a))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 (.f64 (.f64 b b) a) a))
(fma.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 (.f64 b b) a) a))
(fma.f64 (.f64 a b) (/.f64 b a) (.f64 a (*.f64 c #s(literal -4 binary64))))
(fma.f64 (.f64 a (.f64 b b)) (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 c #s(literal -4 binary64))))
(fma.f64 (.f64 a #s(literal -4 binary64)) c (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (/.f64 (.f64 (*.f64 b b) a) a))
(fma.f64 (.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (.f64 (.f64 b b) a) a))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 b b) a) a) #s(literal 3 binary64))) (fma.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 a (.f64 c #s(literal -4 binary64))) (-.f64 (.f64 (/.f64 (.f64 (.f64 b b) a) a) (/.f64 (.f64 (.f64 b b) a) a)) (.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (/.f64 (.f64 (.f64 b b) a) a)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 (/.f64 (.f64 (.f64 b b) a) a) (/.f64 (.f64 (.f64 b b) a) a))) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (/.f64 (.f64 (.f64 b b) a) a)))
(/.f64 (.f64 a (fma.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 a a)) (.f64 (.f64 c #s(literal -4 binary64)) (.f64 (.f64 c c) #s(literal 16 binary64))))) (fma.f64 (/.f64 (.f64 b b) a) (-.f64 (/.f64 (.f64 b b) a) (.f64 c #s(literal -4 binary64))) (.f64 (*.f64 c c) #s(literal 16 binary64))))
(/.f64 (.f64 a (-.f64 (.f64 (.f64 c c) #s(literal 16 binary64)) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 a a)))) (-.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 a a)) (.f64 (.f64 c #s(literal -4 binary64)) (.f64 (.f64 c c) #s(literal 16 binary64)))) a) (fma.f64 (/.f64 (.f64 b b) a) (-.f64 (/.f64 (.f64 b b) a) (.f64 c #s(literal -4 binary64))) (.f64 (*.f64 c c) #s(literal 16 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 c c) #s(literal 16 binary64)) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 a a))) a) (-.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(pow.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))) #s(literal 1/2 binary64))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)) a)
(.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 a)) (.f64 (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a))) (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))
(.f64 (.f64 (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) (sqrt.f64 a)) (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))
(neg.f64 (/.f64 (neg.f64 b) a))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 b a)
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 a #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -1/2 binary64)) b)))
(.f64 (/.f64 b (.f64 a #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/2 binary64))) (neg.f64 b))
(neg.f64 (/.f64 (neg.f64 b) a))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 b a)
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 a #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -1/2 binary64)) b)))
(.f64 (/.f64 b (.f64 a #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/2 binary64))) (neg.f64 b))
(neg.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 1/2 binary64)))))
(/.f64 (*.f64 a #s(literal -1/2 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 a #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) b)
(pow.f64 (/.f64 b (*.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 a b))
(.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 1/2 binary64)) b))
(.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(*.f64 a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(/.f64 b (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 c b)))
(/.f64 (.f64 c b) (.f64 b b))
(/.f64 (.f64 b #s(literal 1 binary64)) (/.f64 (.f64 b b) c))
(/.f64 (.f64 #s(literal 1 binary64) b) (/.f64 (.f64 b b) c))
(/.f64 (neg.f64 (.f64 c b)) (.f64 b (neg.f64 b)))
(/.f64 (.f64 b (neg.f64 c)) (.f64 b (neg.f64 b)))
(/.f64 (*.f64 b (/.f64 c b)) b)
(/.f64 (.f64 (neg.f64 c) b) (.f64 b (neg.f64 b)))
(/.f64 (*.f64 (/.f64 c b) b) b)
(/.f64 (/.f64 (*.f64 c b) b) b)
(.f64 c (.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) b))
(.f64 b (/.f64 c (.f64 b b)))
(.f64 (/.f64 c (.f64 b b)) b)
(.f64 (.f64 c b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 b b) (/.f64 c b))
(neg.f64 (/.f64 c (*.f64 b (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b)))
(/.f64 c (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 c) (*.f64 b (neg.f64 b)))
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 b (neg.f64 b))))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 b b))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 #s(literal 1 binary64) (/.f64 c (.f64 b b)))
(.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (.f64 b (neg.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) c)
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (neg.f64 b) a))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 c b) (.f64 b b)))
(-.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 b a))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 (/.f64 b a) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))))) (/.f64 (.f64 (/.f64 b a) (/.f64 (.f64 b b) (.f64 a a))) (fma.f64 (/.f64 b a) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a))) (/.f64 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a))))
(fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) b) (/.f64 (neg.f64 b) a))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 (neg.f64 b) a))
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 c b) (.f64 b b)))
(fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 (neg.f64 b) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 (.f64 c b) (.f64 b b)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 c b) (.f64 b b)))
(fma.f64 (.f64 c b) (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (neg.f64 b) a))
(fma.f64 (/.f64 b b) (/.f64 c b) (/.f64 (neg.f64 b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (neg.f64 (.f64 (/.f64 b a) (/.f64 (.f64 b b) (.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a)) (-.f64 (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (/.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 (fma.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (neg.f64 (.f64 (/.f64 b a) (/.f64 (.f64 b b) (.f64 a a))))) (fma.f64 (/.f64 b a) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (/.f64 (.f64 b b) (.f64 a a))) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b a)))
(/.f64 (-.f64 (.f64 (.f64 c b) a) (.f64 b (.f64 b b))) (.f64 (.f64 b b) a))
(/.f64 (-.f64 (.f64 (.f64 c b) (/.f64 a b)) (.f64 (.f64 b b) #s(literal 1 binary64))) (.f64 (.f64 b b) (/.f64 a b)))
(/.f64 (-.f64 (.f64 (.f64 c b) (neg.f64 a)) (.f64 (.f64 b b) (neg.f64 b))) (.f64 (.f64 b b) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (neg.f64 (.f64 (/.f64 b a) (/.f64 (.f64 b b) (.f64 a a)))))) (neg.f64 (fma.f64 (/.f64 b a) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (/.f64 (.f64 b b) (.f64 a a)))) (neg.f64 (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b a))))
(/.f64 (fma.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (neg.f64 b) a)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))) (-.f64 (/.f64 (.f64 c b) (*.f64 b b)) (/.f64 (neg.f64 b) a)))
(.f64 b (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (fma.f64 (/.f64 (.f64 c b) (.f64 b b)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (neg.f64 (.f64 (/.f64 b a) (/.f64 (.f64 b b) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a)) (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (*.f64 b b))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 c b) (.f64 c b)) (.f64 (.f64 b b) (.f64 b b))) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b a))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))
(pow.f64 (.f64 a (.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 a c)))
(.f64 (sqrt.f64 a) (pow.f64 (.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c #s(literal -4 binary64))))
(.f64 (pow.f64 (.f64 a (.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) a)
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))) (neg.f64 a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(pow.f64 (.f64 (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))) a))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) a))
(/.f64 (neg.f64 a) (neg.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(/.f64 (.f64 a #s(literal -1 binary64)) (neg.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))))
(.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))))
(.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) a)
(.f64 (/.f64 a (fma.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b (.f64 b b)))) (-.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(.f64 (/.f64 a (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))
(exp.f64 (.f64 (log.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(pow.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))))
(.f64 (pow.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b (.f64 b b)))) (-.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))

simplify394.0ms (4.7%)

Memory

11.8MiB live, 527.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 898×	`lower-fma.f64`
7 898×	`lower-fma.f32`
7 886×	`lower-*.f64`
7 886×	`lower-*.f32`
2 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	770	5788
1	2465	5511
0	8167	5317

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

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

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

eval82.0ms (1%)

Memory: 36.1MiB live, 145.9MiB allocated
Compiler: Compiled 12 810 to 1 641 computations (87.2% saved)

prune95.0ms (1.1%)

Memory

-19.1MiB live, 165.0MiB allocated

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	745	12	757
Fresh	3	18	21
Picked	2	3	5
Done	0	2	2
Total	750	35	785

Accuracy

95.5%

Counts

785 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.1%	(fma.f64 #s(literal 1/2 binary64) (/.f64 b a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
	25.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))
▶	24.2%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
	40.3%	(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
	40.1%	(/.f64 (.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) a))
▶	2.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (.f64 a (/.f64 c b)))) a)
	24.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))))) a)
	28.0%	(/.f64 (neg.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	31.3%	(/.f64 (neg.f64 c) b)
▶	10.3%	(/.f64 c b)
	31.7%	(/.f64 b (/.f64 (neg.f64 (*.f64 a a)) a))
▶	41.2%	(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))
	31.6%	(/.f64 b (.f64 (neg.f64 (.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
✓	41.2%	(/.f64 b (neg.f64 a))
✓	2.2%	(/.f64 b a)
	2.2%	(/.f64 #s(literal 1 binary64) (/.f64 a b))
	10.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) c))
	24.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
	15.7%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))) a))
✓	24.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
▶	2.2%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
	41.1%	(-.f64 (/.f64 c b) (/.f64 b a))
	40.5%	(-.f64 (/.f64 b (/.f64 (*.f64 b b) c)) (/.f64 b a))
	24.5%	(.f64 (/.f64 (.f64 a (*.f64 c #s(literal 2 binary64))) b) (/.f64 #s(literal -1/2 binary64) a))
	26.0%	(.f64 (/.f64 (.f64 a c) (*.f64 b a)) #s(literal -1 binary64))
	2.2%	(*.f64 (/.f64 #s(literal 1 binary64) a) b)
	28.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) b))
	41.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c #s(literal -4 binary64))))))))
✓	57.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64))))))
	34.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓	54.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))
	41.1%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	7.5%	(.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (*.f64 b b))))
	7.7%	(.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (*.f64 b b))))
	32.0%	(.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 a c))))

Compiler

Compiled 966 to 643 computations (33.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize77.0ms (0.9%)

Memory

-7.6MiB live, 113.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
✓	accuracy	83.5%	(sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 b (.f64 a (/.f64 c b))))
✓	accuracy	100.0%	(-.f64 b (*.f64 a (/.f64 c b)))
✓	accuracy	96.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (.f64 a (/.f64 c b)))) a)
✓	accuracy	91.1%	(*.f64 a (/.f64 c b))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) b)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) b) a)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) a)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))

Samples

32.0ms	173×	0	valid
14.0ms	83×	0	invalid

Compiler

Compiled 138 to 27 computations (80.4% saved)

Precisions

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

ival-div: 16.0ms (57.7% of total)

ival-mult: 7.0ms (25.2% of total)

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

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

2.5MiB live, 39.4MiB allocated

Counts

15 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	(/ (* 1/2 (- b (* a (/ c b)))) a)
3.0ms	a	@	inf	(- b (* a (/ c b)))
0.0ms	b	@	inf	(/ (* 1/2 (- b (* a (/ c b)))) a)
0.0ms	b	@	0	(/ (* 1/2 (- b (* a (/ c b)))) a)
0.0ms	a	@	-inf	(/ (* 1/2 (- b (* a (/ c b)))) a)

rewrite406.0ms (4.8%)

Memory

0.9MiB live, 362.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 586×	`lower-fma.f64`
6 586×	`lower-fma.f32`
5 726×	`lower-*.f32`
5 716×	`lower-*.f64`
3 830×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	103
0	43	99
1	160	91
2	953	91
0	8477	91

Stop Event

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

Counts

15 → 1 067

Calls

Call 1

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

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

simplify320.0ms (3.8%)

Memory

-10.5MiB live, 414.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 870×	`lower-fma.f64`
6 870×	`lower-fma.f32`
6 160×	`lower-*.f64`
6 160×	`lower-*.f32`
3 964×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	3683
1	1089	3581
2	3346	3535
0	8368	3403

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 402

Calls

Call 1

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

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

eval192.0ms (2.3%)

Memory: 41.4MiB live, 267.0MiB allocated
Compiler: Compiled 28 189 to 3 300 computations (88.3% saved)

prune448.0ms (5.3%)

Memory

-39.2MiB live, 306.8MiB allocated

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1 512	14	1 526
Fresh	6	19	25
Picked	3	2	5
Done	0	5	5
Total	1 521	40	1 561

Accuracy

99.5%

Counts

1 561 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (.f64 c #s(literal -4 binary64)))) (sqrt.f64 a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
	15.7%	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 a)) (sqrt.f64 (.f64 c #s(literal -4 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
	2.1%	(fma.f64 #s(literal 1/2 binary64) (/.f64 b a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
	25.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))
	15.0%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b)))
✓	24.2%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
	41.1%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
	40.3%	(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
	24.2%	(/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))
	40.1%	(/.f64 (.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) a))
	12.9%	(/.f64 (.f64 (.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) a)
	12.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (neg.f64 c)) b)) a)
	2.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (/.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) c)))) a)
	28.0%	(/.f64 (neg.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	31.3%	(/.f64 (neg.f64 c) b)
✓	10.3%	(/.f64 c b)
	31.7%	(/.f64 b (/.f64 (neg.f64 (*.f64 a a)) a))
	31.6%	(/.f64 b (.f64 (neg.f64 (.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
✓	41.2%	(/.f64 b (neg.f64 a))
✓	2.2%	(/.f64 b a)
	10.3%	(/.f64 #s(literal 1 binary64) (/.f64 b c))
	24.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))))
	15.7%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))) a))
✓	24.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
	41.1%	(-.f64 (/.f64 c b) (/.f64 b a))
	40.5%	(-.f64 (/.f64 b (/.f64 (*.f64 b b) c)) (/.f64 b a))
	2.0%	(*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) (/.f64 #s(literal -1/2 binary64) a))
	24.5%	(.f64 (/.f64 (.f64 a (*.f64 c #s(literal 2 binary64))) b) (/.f64 #s(literal -1/2 binary64) a))
	26.0%	(.f64 (/.f64 (.f64 a c) (*.f64 b a)) #s(literal -1 binary64))
	2.2%	(.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))
	10.3%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	28.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))) b))
	41.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c #s(literal -4 binary64))))))))
✓	57.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64))))))
	34.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓	54.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))))))
	41.1%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	7.7%	(.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b))) (/.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (*.f64 b b))))
	13.6%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
	1.9%	(.f64 b (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))

Compiler

Compiled 1 507 to 653 computations (56.7% saved)

regimes79.0ms (0.9%)

Memory

8.4MiB live, 84.3MiB allocated

Counts

67 → 3

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
19.0ms	b
18.0ms	c
18.0ms	a

Results

Accuracy	Segments	Branch
64.1%	4	`a`
88.5%	3	`b`
59.9%	2	`c`
77.7%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes16.0ms (0.2%)

Memory

-23.0MiB live, 17.1MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
88.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

39 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
83.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

38 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
83.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.2%)

Memory

-23.4MiB live, 14.9MiB allocated

Counts

37 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
83.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	b
8.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
54.9%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
70.3%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

-26.6MiB live, 9.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.2%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
41.2%	1	`c`
41.2%	1	`a`
48.7%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)

Outputs
(/.f64 c b)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
10.3%	1	`a`
10.3%	1	`c`
10.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
10.3%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 b a)

Outputs
(/.f64 b a)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.2%	1	`a`
2.2%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
2.2%	1	`c`
2.2%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch59.0ms (0.7%)

Memory

-33.1MiB live, 55.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	1.2380238334990038e-29	1.5653203221081983e-22
18.0ms	-5.24256256655069e+47	-1.17937661484007e+46

Samples

15.0ms	35×	1	valid
13.0ms	168×	0	valid
10.0ms	53×	2	valid
2.0ms	23×	0	invalid

Compiler

Compiled 508 to 363 computations (28.5% saved)

Precisions

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

ival-mult: 7.0ms (33.7% of total)

ival-div: 3.0ms (14.4% of total)

ival-sqrt: 3.0ms (14.4% of total)

adjust: 2.0ms (9.6% of total)

ival-sub: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

ival-neg: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2380238334990038e-29	1.5653203221081983e-22
1.0ms	-5.24256256655069e+47	-1.17937661484007e+46

Compiler

Compiled 476 to 331 computations (30.5% saved)

bsearch46.0ms (0.5%)

Memory

8.9MiB live, 46.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.699971303691068e-65	2.167124759912157e-64
18.0ms	-8.897754765473826e-115	-1.1903557648017863e-117

Samples

22.0ms	177×	0	valid
4.0ms	23×	2	valid
3.0ms	24×	1	valid
3.0ms	38×	0	invalid

Compiler

Compiled 429 to 310 computations (27.7% saved)

Precisions

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

ival-mult: 6.0ms (36.1% of total)

ival-div: 2.0ms (12% of total)

ival-sub: 2.0ms (12% of total)

ival-sqrt: 2.0ms (12% of total)

ival-add: 2.0ms (12% of total)

adjust: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.699971303691068e-65	2.167124759912157e-64
1.0ms	-8.897754765473826e-115	-1.1903557648017863e-117

Compiler

Compiled 415 to 296 computations (28.7% saved)

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	2.699971303691068e-65	2.167124759912157e-64
1.0ms	-8.897754765473826e-115	-1.1903557648017863e-117

Compiler

Compiled 383 to 280 computations (26.9% saved)

bsearch31.0ms (0.4%)

Memory

-3.4MiB live, 34.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-8.735638320817061e-307	2.3683583424509003e-302

Samples

17.0ms	144×	0	valid
5.0ms	66×	0	invalid

Compiler

Compiled 194 to 137 computations (29.4% saved)

Precisions

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

ival-mult: 10.0ms (61.1% of total)

ival-div: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

ival-sub: 1.0ms (6.1% of total)

ival-sqrt: 1.0ms (6.1% of total)

ival-neg: 1.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.735638320817061e-307	2.3683583424509003e-302

Compiler

Compiled 167 to 128 computations (23.4% saved)

bsearch25.0ms (0.3%)

Memory

-10.4MiB live, 26.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1696.4258383597712	11724.129590458659

Samples

13.0ms	40×	2	valid
4.0ms	30×	1	valid
2.0ms	25×	0	valid
0.0ms	5×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 113 to 86 computations (23.9% saved)

Precisions

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

ival-sub: 7.0ms (44% of total)

adjust: 2.0ms (12.6% of total)

ival-div: 2.0ms (12.6% of total)

ival-sqrt: 2.0ms (12.6% of total)

ival-mult: 2.0ms (12.6% of total)

ival-add: 1.0ms (6.3% of total)

ival-neg: 1.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
34×	`+-commutative_binary64`
30×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	216
1	97	214
2	129	214
3	150	214
4	158	214
5	159	214

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -520000000000000006573910700518286285251903750144 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3920052866929211/87112285931760246646623899502532662132736 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -520000000000000006573910700518286285251903750144 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3920052866929211/87112285931760246646623899502532662132736 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 b (/.f64 (.f64 b b) c)) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 b (/.f64 (.f64 b b) c)) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b #s(literal 2300 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

Outputs
(if (<=.f64 b #s(literal -520000000000000006573910700518286285251903750144 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3920052866929211/87112285931760246646623899502532662132736 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -520000000000000006573910700518286285251903750144 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3920052866929211/87112285931760246646623899502532662132736 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a)))) b) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -520000000000000006573910700518286285251903750144 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3920052866929211/87112285931760246646623899502532662132736 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -520000000000000006573910700518286285251903750144 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3920052866929211/87112285931760246646623899502532662132736 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) #s(literal -4 binary64)))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 b (/.f64 (.f64 b b) c)) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 b (/.f64 (.f64 b b) c)) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 b (/.f64 (.f64 b b) c)) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 b (/.f64 (.f64 b b) c)) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (.f64 c a) #s(literal -4 binary64))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2384495936943901/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1659995391306165/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 c a) #s(literal -4 binary64))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal 2300 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b))
(if (<=.f64 b #s(literal 2300 binary64)) (neg.f64 (/.f64 b a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

soundness814.0ms (9.6%)

Memory

0.2MiB live, 432.7MiB allocated

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 952×	`lower-*.f64`
7 952×	`lower-*.f32`
7 898×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1448	9814
1	4874	9452
0	8750	9063
0	545	3249
1	1738	3208
2	6090	3180
0	8252	3023
0	26	125
0	47	121
1	184	117
0	1317	117
0	14	49
0	23	49
1	77	47
2	534	47
3	6867	47
0	8160	43
0	770	5788
1	2465	5511
0	8167	5317

Stop Event

1×	fuel
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

Compiler

Compiled 496 to 240 computations (51.6% saved)

preprocess106.0ms (1.3%)

Memory: -12.7MiB live, 157.8MiB allocated
Compiler: Compiled 690 to 206 computations (70.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze143.0ms (1.7%)

sample1.5s (17.5%)

preprocess173.0ms (2%)

explain218.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize71.0ms (0.8%)

series21.0ms (0.2%)

rewrite279.0ms (3.3%)

simplify419.0ms (4.9%)

eval74.0ms (0.9%)

prune89.0ms (1%)

simplify0.0ms (0%)

localize197.0ms (2.3%)

series71.0ms (0.8%)

rewrite333.0ms (3.9%)

simplify429.0ms (5.1%)

eval327.0ms (3.9%)

prune507.0ms (6%)

simplify0.0ms (0%)

localize162.0ms (1.9%)

series37.0ms (0.4%)

rewrite109.0ms (1.3%)

simplify394.0ms (4.7%)

eval82.0ms (1%)

prune95.0ms (1.1%)

simplify0.0ms (0%)

localize77.0ms (0.9%)

series31.0ms (0.4%)

rewrite406.0ms (4.8%)

simplify320.0ms (3.8%)

eval192.0ms (2.3%)

prune448.0ms (5.3%)

regimes79.0ms (0.9%)

regimes16.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.1%)

regimes14.0ms (0.2%)

regimes19.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch59.0ms (0.7%)

bsearch2.0ms (0%)

bsearch46.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch31.0ms (0.4%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

simplify11.0ms (0.1%)

soundness814.0ms (9.6%)

preprocess106.0ms (1.3%)

end0.0ms (0%)

Profiling