Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze16.0ms (0.3%)

Memory

-14.2MiB live, 25.2MiB 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)

sample1.5s (24.7%)

Memory

-164.3MiB live, 1 383.3MiB allocated

Samples

765.0ms	8 256×	0	valid
324.0ms	822×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 511.0ms

ival-mult: 120.0ms (23.5% of total)

ival-<=: 100.0ms (19.6% of total)

ival-sqrt: 81.0ms (15.8% of total)

ival-fabs: 68.0ms (13.3% of total)

ival-div: 55.0ms (10.8% of total)

ival-sub: 55.0ms (10.8% of total)

ival-and: 17.0ms (3.3% of total)

exact: 11.0ms (2.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain115.0ms (1.9%)

Memory

-26.6MiB live, 141.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
60	-	-	`(/.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	60	0
↳	`(*.f64 b b)`	underflow	180
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	60
↳	`(*.f64 a a)`	underflow	60
↳	`(*.f64 a a)`	underflow	60

Confusion

	Predicted +	Predicted -
+	60	0
-	0	196

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	0
-	0	0	196

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions

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

ival-mult: 6.0ms (33.3% of total)

ival-div: 3.0ms (16.7% of total)

ival-sqrt: 3.0ms (16.7% of total)

ival-sub: 2.0ms (11.1% of total)

ival-fabs: 2.0ms (11.1% of total)

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

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

preprocess284.0ms (4.8%)

Memory

32.5MiB live, 262.8MiB 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 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))

Symmetry

(abs b)

(abs a)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify206.0ms (3.5%)

Memory

-22.2MiB live, 176.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize24.0ms (0.4%)

Memory

30.6MiB live, 30.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.00390625	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	14.535321550672831	(/.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 (34.4% of total)

ival-div: 2.0ms (22.9% of total)

ival-sqrt: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.5% of total)

ival-fabs: 1.0ms (11.5% of total)

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

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

series20.0ms (0.3%)

Memory

-30.2MiB live, 15.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#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.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>) () ())

Outputs
#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 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 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 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 (* -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 (* -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 (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 (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 (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 (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 (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 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 (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 (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 (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 (* -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 (* -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 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 (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 (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 (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 (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 (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>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
4.0ms	a	@	0	(fabs (/ (- (* a a) (* b b)) (* a a)))
1.0ms	b	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	a	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	a	@	inf	(/ (- (* a a) (* b b)) (* a a))

simplify276.0ms (4.7%)

Memory

-2.8MiB live, 275.3MiB 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	972
1	55	840
2	165	840
3	711	840
4	3832	840
0	8007	792

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite224.0ms (3.8%)

Memory

6.1MiB live, 215.5MiB 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	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31

Stop Event

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

Counts

4 → 391

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (.f64 a a)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (*.f64 a a))))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 b (neg.f64 b))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 b (neg.f64 b))) #s(literal 1 binary64))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 b (/.f64 b (*.f64 a a)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a)) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a)))
(-.f64 (/.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (.f64 a a)) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (.f64 a a)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a (neg.f64 a))) (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))
(fma.f64 b (neg.f64 (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1 binary64) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 b (neg.f64 b)) #s(literal 1 binary64))
(fma.f64 (.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 a a))
(/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a (neg.f64 a)))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (*.f64 a (neg.f64 a))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (neg.f64 a)) (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (neg.f64 (fma.f64 a a (.f64 b b))) (.f64 a (neg.f64 a))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a (neg.f64 a)) (neg.f64 (fma.f64 a a (.f64 b b)))))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (neg.f64 (neg.f64 a)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b)))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 a b) (.f64 a a)))
(/.f64 (.f64 (-.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (.f64 (-.f64 a b) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (fma.f64 a (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (+.f64 a b)) (+.f64 a b))
(/.f64 (.f64 (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)) (+.f64 a b)) (fma.f64 b (+.f64 a b) (.f64 a a)))
(pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a))))) #s(literal 1 binary64)))
(.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)))
(.f64 (fma.f64 a a (.f64 b b)) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))))
(.f64 (fma.f64 a a (.f64 b b)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (+.f64 a b) (neg.f64 (neg.f64 (-.f64 a b))))
(.f64 (+.f64 a b) (.f64 (-.f64 a b) #s(literal 1 binary64)))
(*.f64 (-.f64 a b) (+.f64 a b))
(.f64 (-.f64 a b) (.f64 (+.f64 a b) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 a b) (-.f64 b a)))
(.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))))
(*.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 a b)))
(*.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (-.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (*.f64 b b))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))))) (sqrt.f64 (.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 a))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))

eval81.0ms (1.4%)

Memory: -2.6MiB live, 104.5MiB allocated
Compiler: Compiled 13 936 to 1 666 computations (88% saved)

prune84.0ms (1.4%)

Memory

-6.4MiB live, 118.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	481	6	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	482	6	488

Accuracy

100.0%

Counts

488 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	76.2%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))))
	99.7%	(sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
▶	98.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 156 to 102 computations (34.6% saved)

simplify267.0ms (4.5%)

Memory

9.0MiB live, 254.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 a b) (-.f64 a b))
cost-diff	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
cost-diff	320	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(/.f64 (-.f64 a b) (*.f64 a a))
cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))))
cost-diff	128	(fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b)))
cost-diff	192	(.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))
cost-diff	0	(/.f64 b (*.f64 a a))
cost-diff	0	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
cost-diff	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
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	(/.f64 b a)
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
cost-diff	128	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
cost-diff	384	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))

Rules

16 286×	`lower-fma.f32`
16 282×	`lower-fma.f64`
3 670×	`lower-*.f32`
3 662×	`lower-*.f64`
1 654×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	224
0	58	220
1	110	212
2	223	206
3	414	206
4	889	206
5	3002	206
0	8416	206

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (2.3%)

Memory

-6.9MiB live, 108.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 a b) (-.f64 a b))
accuracy	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy	0.1640625	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
accuracy	14.63914288622991	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
accuracy	0	(fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))))
accuracy	0.185878759768442	(.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))
accuracy	14.838448456999894	(/.f64 (-.f64 a b) (*.f64 a a))
accuracy	0	(*.f64 a a)
accuracy	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
accuracy	14.92425624054446	(/.f64 b (*.f64 a a))
accuracy	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.0073279084382771	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0	(/.f64 b a)
accuracy	0	(neg.f64 (/.f64 b a))
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))

Samples

63.0ms

256×

valid

Compiler

Compiled 226 to 34 computations (85% saved)

Precisions

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

ival-sub: 12.0ms (25.8% of total)

ival-mult: 9.0ms (19.3% of total)

ival-div: 8.0ms (17.2% of total)

ival-sqrt: 7.0ms (15% of total)

ival-fabs: 5.0ms (10.7% of total)

ival-add: 3.0ms (6.4% 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)

series38.0ms (0.6%)

Memory

0.7MiB live, 41.7MiB allocated

Counts

21 → 492

Calls

Call 1

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

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

123 calls:

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

simplify253.0ms (4.3%)

Memory

37.9MiB live, 231.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 492×	`lower-fma.f64`
13 492×	`lower-fma.f32`
3 114×	`lower-*.f64`
3 114×	`lower-*.f32`
1 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	4207
1	359	4083
2	998	4059
3	4939	4059
0	8453	3845

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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

rewrite370.0ms (6.3%)

Memory

-29.7MiB live, 321.3MiB allocated

Rules

4 850×	`lower-/.f32`
4 842×	`lower-/.f64`
3 914×	`lower-fma.f32`
3 910×	`lower-fma.f64`
3 892×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	194
0	58	188
1	208	159
2	1543	159
0	8349	159

Stop Event

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

Counts

21 → 1 450

Calls

Call 1

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

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

eval324.0ms (5.5%)

Memory: 38.0MiB live, 371.9MiB allocated
Compiler: Compiled 46 929 to 4 115 computations (91.2% saved)

prune255.0ms (4.3%)

Memory

0.0MiB live, 287.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	2 016	1	2 017
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	2 017	6	2 023

Accuracy

100.0%

Counts

2 023 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	76.2%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))))
▶	99.7%	(sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
✓	98.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 77 to 50 computations (35.1% saved)

simplify209.0ms (3.5%)

Memory

34.5MiB live, 219.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 b a)
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
cost-diff	384	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
cost-diff	128	(fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
cost-diff	192	(.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))
cost-diff	704	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))

Rules

10 926×	`lower-fma.f32`
10 924×	`lower-fma.f64`
2 374×	`lower-*.f32`
2 370×	`lower-*.f64`
1 792×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	101
0	27	111
1	49	99
2	112	99
3	312	87
4	1002	85
5	2560	85
6	4845	85
0	8449	85

Stop Event

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

Calls

Call 1

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

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

localize59.0ms (1%)

Memory

-8.7MiB live, 77.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
accuracy	0	(/.f64 b a)
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
accuracy	0	(fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
accuracy	0.01953125	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
accuracy	0.185878759768442	(.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))

Samples

33.0ms

256×

valid

Compiler

Compiled 106 to 18 computations (83% saved)

Precisions

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

ival-mult: 4.0ms (22.5% of total)

ival-div: 3.0ms (16.9% of total)

ival-add: 3.0ms (16.9% of total)

ival-fabs: 3.0ms (16.9% of total)

ival-sqrt: 3.0ms (16.9% of total)

ival-sub: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-19.4MiB live, 19.5MiB allocated

Counts

8 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(* (+ a b) (* (- 1 (/ b a)) (/ 1 a)))
1.0ms	a	@	-inf	(* (- 1 (/ b a)) (/ 1 a))
0.0ms	b	@	inf	(* (+ a b) (* (- 1 (/ b a)) (/ 1 a)))
0.0ms	a	@	-inf	(* (+ a b) (* (- 1 (/ b a)) (/ 1 a)))
0.0ms	b	@	-inf	(* (+ a b) (* (- 1 (/ b a)) (/ 1 a)))

simplify283.0ms (4.8%)

Memory

0.5MiB live, 258.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 006×	`lower-fma.f64`
16 006×	`lower-fma.f32`
2 910×	`lower-*.f64`
2 910×	`lower-*.f32`
1 496×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	1942
1	204	1843
2	508	1717
3	1790	1591
4	5840	1591
0	8203	1477

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

rewrite219.0ms (3.7%)

Memory

-10.4MiB live, 182.4MiB allocated

Rules

4 220×	`lower-fma.f32`
4 218×	`lower-fma.f64`
3 382×	`lower-*.f32`
3 378×	`lower-*.f64`
3 324×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
0	27	70
1	108	70
2	819	70
0	9127	70

Stop Event

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

Counts

8 → 376

Calls

Call 1

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

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

eval87.0ms (1.5%)

Memory: -0.5MiB live, 119.3MiB allocated
Compiler: Compiled 12 974 to 1 842 computations (85.8% saved)

prune98.0ms (1.7%)

Memory

-2.5MiB live, 112.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	674	0	674
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	674	6	680

Accuracy

100.0%

Counts

680 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	76.2%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))))
✓	99.7%	(sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
✓	98.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 168 to 90 computations (46.4% saved)

regimes18.0ms (0.3%)

Memory

28.5MiB live, 28.5MiB 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 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 a b))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))

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

Calls

7 calls:

3.0ms	a
3.0ms	b
3.0ms	(*.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
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 58 to 31 computations (46.6% saved)

regimes33.0ms (0.6%)

Memory

-19.4MiB live, 26.7MiB allocated

Accuracy

Total -14.9b remaining (-1530.8%)

Threshold costs -14.9b (-1530.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

22.0ms	(*.f64 a a)
2.0ms	b
2.0ms	a
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
2.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`b`
98.5%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.5%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.5%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.5%	1	`(*.f64 a a)`
98.5%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	18	25

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness424.0ms (7.2%)

Memory

-10.4MiB live, 212.5MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
4 850×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	711	840
4	3832	840
0	8007	792
0	32	194
0	58	188
1	208	159
2	1543	159
0	8349	159
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31

Stop Event

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

Compiler

Compiled 68 to 40 computations (41.2% saved)

preprocess30.0ms (0.5%)

Memory

12.3MiB live, 50.4MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 110 to 64 computations (41.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze16.0ms (0.3%)

sample1.5s (24.7%)

explain115.0ms (1.9%)

preprocess284.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify206.0ms (3.5%)

localize24.0ms (0.4%)

series20.0ms (0.3%)

simplify276.0ms (4.7%)

rewrite224.0ms (3.8%)

eval81.0ms (1.4%)

prune84.0ms (1.4%)

simplify267.0ms (4.5%)

localize138.0ms (2.3%)

series38.0ms (0.6%)

simplify253.0ms (4.3%)

rewrite370.0ms (6.3%)

eval324.0ms (5.5%)

prune255.0ms (4.3%)

simplify209.0ms (3.5%)

localize59.0ms (1%)

series13.0ms (0.2%)

simplify283.0ms (4.8%)

rewrite219.0ms (3.7%)

eval87.0ms (1.5%)

prune98.0ms (1.7%)

regimes18.0ms (0.3%)

regimes33.0ms (0.6%)

simplify6.0ms (0.1%)

soundness424.0ms (7.2%)

preprocess30.0ms (0.5%)

end0.0ms (0%)

Profiling