Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.3%)

Memory

-9.9MiB live, 32.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	62.5%	0%	18.7%	0%	2
0%	0%	9.4%	62.5%	0%	28.1%	0%	3
0%	0%	9.4%	62.5%	0%	28.1%	0%	4
0%	0%	7%	62.5%	0%	30.4%	0%	5
20%	1.2%	4.7%	62.5%	0%	31.6%	0%	6
25%	1.2%	3.5%	62.5%	0%	32.8%	0%	7
40%	1.8%	2.6%	62.5%	0%	33.1%	0%	8
51.9%	2%	1.9%	62.5%	0%	33.5%	0%	9
64.7%	2.4%	1.3%	62.5%	0%	33.7%	0%	10
72.9%	2.6%	1%	62.5%	0%	33.9%	0%	11
80.2%	2.7%	0.7%	62.5%	0%	34%	0%	12

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (26.4%)

Memory

7.1MiB live, 1 409.8MiB allocated

Samples

758.0ms	8 256×	0	valid
88.0ms	822×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 567.0ms

ival-mult: 183.0ms (32.3% of total)

ival-<=: 95.0ms (16.8% of total)

ival-div: 85.0ms (15% of total)

ival-sub: 64.0ms (11.3% of total)

ival-sqrt: 64.0ms (11.3% of total)

ival-fabs: 44.0ms (7.8% of total)

ival-and: 18.0ms (3.2% of total)

exact: 11.0ms (1.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain159.0ms (3.2%)

Memory

-32.7MiB live, 104.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
45	-	-	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
0	-	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`	u/u	45	0
↳	`(*.f64 b b)`	underflow	182
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	45
↳	`(*.f64 a a)`	underflow	45
↳	`(*.f64 a a)`	underflow	45

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	0	211

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	45

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (33.1% of total)

ival-div: 3.0ms (16.5% of total)

ival-fabs: 3.0ms (16.5% of total)

ival-sqrt: 3.0ms (16.5% of total)

ival-sub: 2.0ms (11% of total)

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

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

preprocess193.0ms (3.8%)

Memory

12.7MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
4 304×	`lower-*.f32`
4 300×	`lower-*.f64`
1 434×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	85	57
2	338	57
3	2529	57
4	6437	57
0	8	13
0	14	13
1	30	11
2	75	11
3	199	11
4	482	11
5	1723	11
6	5645	11
0	8181	10

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))

Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify123.0ms (2.4%)

Memory

-4.1MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a a)
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
cost-diff	128	(-.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
4 304×	`lower-*.f32`
4 300×	`lower-*.f64`
1 340×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	51
1	30	45
2	75	45
3	199	45
4	482	45
5	1723	45
6	5645	45
0	8181	43

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

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

localize21.0ms (0.4%)

Memory

19.7MiB live, 19.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a a)
accuracy	0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	10.906373976809837	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

15.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.7% of total)

ival-div: 2.0ms (22.5% of total)

ival-sqrt: 2.0ms (22.5% of total)

ival-sub: 1.0ms (11.2% of total)

ival-fabs: 1.0ms (11.2% of total)

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

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

series8.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())

Outputs
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	((fabs (/ (- (* a a) (* b b)) (* a a))) (- (* a a) (* b b)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (* a a) (/ (- (* a a) (* b b)) (* a a)))
1.0ms	b	@	0	((fabs (/ (- (* a a) (* b b)) (* a a))) (- (* a a) (* b b)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (* a a) (/ (- (* a a) (* b b)) (* a a)))
1.0ms	a	@	inf	((fabs (/ (- (* a a) (* b b)) (* a a))) (- (* a a) (* b b)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (* a a) (/ (- (* a a) (* b b)) (* a a)))
1.0ms	a	@	0	((fabs (/ (- (* a a) (* b b)) (* a a))) (- (* a a) (* b b)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (* a a) (/ (- (* a a) (* b b)) (* a a)))
1.0ms	a	@	-inf	((fabs (/ (- (* a a) (* b b)) (* a a))) (- (* a a) (* b b)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (* a a) (/ (- (* a a) (* b b)) (* a a)))

simplify245.0ms (4.9%)

Memory

-17.4MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
1 900×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	990
1	55	876
2	165	876
3	709	876
4	3801	876
0	8016	828

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))

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

rewrite214.0ms (4.3%)

Memory

-10.2MiB live, 107.8MiB allocated

Rules

3 746×	`lower-fma.f64`
3 746×	`lower-fma.f32`
3 566×	`lower-*.f32`
3 562×	`lower-*.f64`
2 844×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	46
0	14	46
1	58	40
2	431	34
3	4344	34
0	8225	34

Stop Event

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

Counts

5 → 416

Calls

Call 1

Inputs
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(*.f64 a a)
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval134.0ms (2.7%)

Memory: 0.3MiB live, 118.2MiB allocated
Compiler: Compiled 10 830 to 1 903 computations (82.4% saved)

prune12.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	555	6	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	556	6	562

Accuracy

100.0%

Counts

562 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	82.4%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))))
▶	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
▶	97.1%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 128 to 100 computations (21.9% saved)

simplify182.0ms (3.6%)

Memory

-3.5MiB live, 112.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

13 838×	`lower-fma.f32`
13 834×	`lower-fma.f64`
2 832×	`lower-+.f32`
2 830×	`lower-+.f64`
2 442×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	299
0	56	296
1	99	278
2	178	275
3	382	275
4	763	275
5	2367	275
6	7170	275
0	8303	275

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (2.3%)

Memory

6.0MiB live, 90.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
accuracy	0	#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
accuracy	0.0234375	(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)
accuracy	0	(*.f64 a a)
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.0078125	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
accuracy	10.906373976809837	(/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))
accuracy	0	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.01171875	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy	11.13700140731027	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.9410537422396872	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy	0.2734375	(/.f64 (/.f64 b a) a)

Samples

82.0ms

256×

valid

Compiler

Compiled 249 to 29 computations (88.4% saved)

Precisions

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

ival-sqrt: 20.0ms (42.5% of total)

ival-div: 9.0ms (19.1% of total)

ival-mult: 8.0ms (17% of total)

ival-add: 3.0ms (6.4% of total)

ival-fabs: 3.0ms (6.4% of total)

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

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.9%)

Memory

-0.3MiB live, 38.7MiB allocated

Counts

20 → 468

Calls

Call 1

Inputs
#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())
#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())
#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (* -1 a))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1)) (taylor inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1)) (taylor inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1)) (taylor inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor -inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) (taylor -inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)) (taylor -inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)) (taylor -inf b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))) (taylor -inf b) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (taylor 0 a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (taylor 0 a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (taylor 0 a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (taylor inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))) (taylor inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))) (taylor inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* (+ a b) (- a b))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) (patch (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)) (* a a))
4.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)) (* a a))
3.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)) (* a a))
3.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)) (* a a))
3.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (neg b) (/ b a)) a) a) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)) (* a a))

simplify160.0ms (3.2%)

Memory

0.8MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 104×	`lower-fma.f64`
16 104×	`lower-fma.f32`
2 836×	`lower-*.f64`
2 836×	`lower-*.f32`
1 524×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	4636
1	332	4030
2	991	4030
3	4625	4030
0	8391	3820

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

Calls

Call 1

Inputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(pow a 2)
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* -1 (pow b 2))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* -1 b)
(- a b)
(- a b)
(- a b)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)

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

rewrite307.0ms (6.1%)

Memory

-23.9MiB live, 171.2MiB allocated

Rules

6 318×	`lower-fma.f32`
6 314×	`lower-fma.f64`
4 514×	`lower-/.f32`
4 504×	`lower-/.f64`
3 760×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	250
0	56	245
1	206	227
2	1415	196
0	8382	196

Stop Event

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

Counts

20 → 950

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval299.0ms (6%)

Memory: 36.8MiB live, 434.9MiB allocated
Compiler: Compiled 39 268 to 4 797 computations (87.8% saved)

prune30.0ms (0.6%)

Memory

-14.6MiB live, 104.0MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 818	1	1 819
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	1 820	5	1 825

Accuracy

100.0%

Counts

1 825 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))))
✓	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
✓	97.1%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
▶	83.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 51 to 42 computations (17.6% saved)

simplify132.0ms (2.6%)

Memory

2.4MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (-.f64 a b) a) a)
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))))
cost-diff	192	(*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))
cost-diff	512	(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))
cost-diff	0	(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Rules

14 908×	`lower-fma.f32`
14 906×	`lower-fma.f64`
4 146×	`lower-*.f32`
4 142×	`lower-*.f64`
1 660×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	129
0	34	126
1	71	118
2	162	115
3	362	115
4	837	115
5	3341	115
0	8235	115

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))
(/.f64 (/.f64 (-.f64 a b) a) a)
(/.f64 (-.f64 a b) a)
(-.f64 a b)
a
b
(+.f64 b a)

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

localize69.0ms (1.4%)

Memory

-6.4MiB live, 86.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))))
accuracy	0.0234375	(/.f64 (/.f64 (-.f64 a b) a) a)
accuracy	0.02734375	(/.f64 (-.f64 a b) a)
accuracy	0.19369125976844204	(*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy	11.435214040991498	(/.f64 b (*.f64 a a))

Samples

55.0ms

256×

valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 22.0ms (55.9% of total)

ival-mult: 6.0ms (15.3% of total)

ival-fabs: 3.0ms (7.6% of total)

ival-sqrt: 3.0ms (7.6% of total)

ival-add: 2.0ms (5.1% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.6%)

Memory

-1.5MiB live, 37.7MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())
#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b (pow a 2))) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 (* a b)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 b) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 b) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 b) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf b) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 a) (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 a) (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 a) (/ 1 b)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2)) (taylor 0 a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2)) (taylor 0 a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2)) (taylor 0 a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 b)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 b)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 b)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor 0 a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (/ b a))) (taylor inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))) (taylor inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))) (taylor inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ b a))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ b a))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ b a))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) (patch (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (/ b a))) (taylor -inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))) (taylor -inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))) (taylor -inf a) (#s(alt (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) (patch (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ b a) 1) a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ b a) 1) a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ b a) 1) a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 a b) a) a) (patch (/.f64 (/.f64 (-.f64 a b) a) a) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (fabs (* (/ (/ (- a b) a) a) (+ b a))) (* (/ (/ (- a b) a) a) (+ b a)) (sqrt (fabs (* (/ (/ (- a b) a) a) (+ b a)))) (/ (/ (- a b) a) a) (/ b (* a a)) (/ (- a b) a))
4.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (fabs (* (/ (/ (- a b) a) a) (+ b a))) (* (/ (/ (- a b) a) a) (+ b a)) (sqrt (fabs (* (/ (/ (- a b) a) a) (+ b a)))) (/ (/ (- a b) a) a) (/ b (* a a)) (/ (- a b) a))
2.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (fabs (* (/ (/ (- a b) a) a) (+ b a))) (* (/ (/ (- a b) a) a) (+ b a)) (sqrt (fabs (* (/ (/ (- a b) a) a) (+ b a)))) (/ (/ (- a b) a) a) (/ b (* a a)) (/ (- a b) a))
1.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (fabs (* (/ (/ (- a b) a) a) (+ b a))) (* (/ (/ (- a b) a) a) (+ b a)) (sqrt (fabs (* (/ (/ (- a b) a) a) (+ b a)))) (/ (/ (- a b) a) a) (/ b (* a a)) (/ (- a b) a))
1.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (fabs (* (/ (/ (- a b) a) a) (+ b a))) (* (/ (/ (- a b) a) a) (+ b a)) (sqrt (fabs (* (/ (/ (- a b) a) a) (+ b a)))) (/ (/ (- a b) a) a) (/ b (* a a)) (/ (- a b) a))

simplify134.0ms (2.7%)

Memory

7.0MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 434×	`lower-fma.f64`
12 434×	`lower-fma.f32`
2 626×	`lower-*.f64`
2 626×	`lower-*.f32`
1 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	2311
1	234	2020
2	646	1984
3	2372	1984
4	6477	1984
0	8089	1846

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(* -1 (/ b (pow a 2)))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(* -1 (/ b a))
(* b (- (/ 1 b) (/ 1 a)))
(* b (- (/ 1 b) (/ 1 a)))
(* b (- (/ 1 b) (/ 1 a)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(* -1 (/ b (pow a 2)))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(* -1 (/ b a))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(* -1 (/ b (pow a 2)))
(/ (+ a (* -1 b)) (pow a 2))
(/ (+ a (* -1 b)) (pow a 2))
(/ (+ a (* -1 b)) (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(* -1 (/ b a))
(/ (+ a (* -1 b)) a)
(/ (+ a (* -1 b)) a)
(/ (+ a (* -1 b)) a)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(- (/ (pow b 2) (pow a 2)) 1)
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))
1
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (/ b a) 1) a))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))

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

rewrite191.0ms (3.8%)

Memory

-4.4MiB live, 274.7MiB allocated

Rules

5 612×	`lower-/.f32`
5 606×	`lower-/.f64`
3 882×	`lower-*.f32`
3 878×	`lower-*.f64`
3 796×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	34	112
1	149	101
2	1195	91
0	8214	91

Stop Event

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

Counts

10 → 1 261

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))))
(/.f64 (/.f64 (-.f64 a b) a) a)
(/.f64 b (*.f64 a a))
(/.f64 (-.f64 a b) a)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval270.0ms (5.4%)

Memory: 9.2MiB live, 439.2MiB allocated
Compiler: Compiled 35 248 to 5 720 computations (83.8% saved)

prune49.0ms (1%)

Memory

12.4MiB live, 91.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	1 501	0	1 501
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	1 501	5	1 506

Accuracy

100.0%

Counts

1 506 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))))
✓	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))))
✓	97.1%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	83.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 139 to 85 computations (38.8% saved)

regimes34.0ms (0.7%)

Memory

-39.0MiB live, 45.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Calls

7 calls:

16.0ms	(*.f64 b b)
3.0ms	b
3.0ms	a
3.0ms	(*.f64 a a)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
100.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
100.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(*.f64 b b)`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes13.0ms (0.3%)

Memory

37.0MiB live, 37.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))

Outputs

(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Calls

7 calls:

2.0ms	a
2.0ms	b
2.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
99.3%	2	`a`
99.3%	2	`b`
99.3%	2	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
99.3%	2	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.3%	2	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
99.3%	2	`(*.f64 a a)`
99.3%	2	`(*.f64 b b)`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes9.0ms (0.2%)

Memory

-15.2MiB live, 24.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Calls

7 calls:

1.0ms	(*.f64 b b)
1.0ms	b
1.0ms	a
1.0ms	(*.f64 a a)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
97.1%	1	`a`
97.1%	1	`b`
97.1%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.1%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.1%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.1%	1	`(*.f64 a a)`
97.1%	1	`(*.f64 b b)`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3e-323

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify29.0ms (0.6%)

Memory

-9.6MiB live, 69.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	82
1	30	82

Stop Event

1×

saturated

Calls

Call 1

Inputs

(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

(if (<=.f64 (*.f64 b b) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))

(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Outputs

(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

(if (<=.f64 (*.f64 b b) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))

(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

soundness379.0ms (7.6%)

Memory

7.5MiB live, 294.4MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
6 318×	`lower-fma.f32`
6 314×	`lower-fma.f64`
5 538×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	250
0	56	245
1	206	227
2	1415	196
0	8382	196
0	25	990
1	55	876
2	165	876
3	709	876
4	3801	876
0	8016	828

Stop Event

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

Compiler

Compiled 73 to 58 computations (20.5% saved)

preprocess85.0ms (1.7%)

Memory

-11.6MiB live, 105.8MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 142 to 98 computations (31% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.3%)

sample1.3s (26.4%)

explain159.0ms (3.2%)

preprocess193.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify123.0ms (2.4%)

localize21.0ms (0.4%)

series8.0ms (0.2%)

simplify245.0ms (4.9%)

rewrite214.0ms (4.3%)

eval134.0ms (2.7%)

prune12.0ms (0.2%)

simplify182.0ms (3.6%)

localize116.0ms (2.3%)

series46.0ms (0.9%)

simplify160.0ms (3.2%)

rewrite307.0ms (6.1%)

eval299.0ms (6%)

prune30.0ms (0.6%)

simplify132.0ms (2.6%)

localize69.0ms (1.4%)

series31.0ms (0.6%)

simplify134.0ms (2.7%)

rewrite191.0ms (3.8%)

eval270.0ms (5.4%)

prune49.0ms (1%)

regimes34.0ms (0.7%)

regimes13.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

simplify29.0ms (0.6%)

soundness379.0ms (7.6%)

preprocess85.0ms (1.7%)

end0.0ms (0%)

Profiling