Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.3%)

Memory

-40.0MiB live, 17.2MiB 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)

sample1.2s (21.6%)

Memory

30.8MiB live, 1 030.4MiB allocated

Samples

747.0ms	8 256×	0	valid
65.0ms	802×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 610.0ms

ival-sub: 180.0ms (29.5% of total)

ival-mult: 142.0ms (23.3% of total)

ival-<=: 97.0ms (15.9% of total)

ival-sqrt: 61.0ms (10% of total)

ival-div: 59.0ms (9.7% of total)

ival-fabs: 42.0ms (6.9% of total)

ival-and: 16.0ms (2.6% of total)

exact: 10.0ms (1.6% of total)

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

Bogosity

explain133.0ms (2.3%)

Memory

-1.2MiB live, 80.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
47	-	-	`(/.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	47	0
↳	`(*.f64 b b)`	underflow	178
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	47
↳	`(*.f64 a a)`	underflow	47
↳	`(*.f64 a a)`	underflow	47

Confusion

	Predicted +	Predicted -
+	47	0
-	0	209

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	209
1	47

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: 7.0ms (38.2% of total)

ival-div: 3.0ms (16.4% of total)

ival-sqrt: 3.0ms (16.4% of total)

ival-sub: 2.0ms (10.9% of total)

ival-fabs: 2.0ms (10.9% of total)

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

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

preprocess255.0ms (4.4%)

Memory

35.4MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify188.0ms (3.3%)

Memory

-17.8MiB live, 77.6MiB 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 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 a a)
a
(*.f64 b b)
b

localize49.0ms (0.9%)

Memory

-6.6MiB live, 30.1MiB 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	0.0078125	(-.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	11.398566809558753	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

43.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 31.0ms (84.5% of total)

ival-div: 2.0ms (5.5% of total)

ival-sqrt: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.7% of total)

ival-fabs: 1.0ms (2.7% of total)

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

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

series7.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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 (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf b) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify286.0ms (5%)

Memory

10.1MiB live, 164.3MiB 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	954
1	55	840
2	165	840
3	712	840
4	3843	840
0	8014	792

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

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

rewrite636.0ms (11%)

Memory

-49.0MiB live, 203.9MiB 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 (/.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (fma.f64 (.f64 b (+.f64 b a)) (.f64 b (-.f64 b a)) (.f64 (.f64 (*.f64 a a) a) a)))
(.f64 (/.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (.f64 (-.f64 a b) (+.f64 b a)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 a a)) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)))) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 a a)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 a a) (.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 a a) a) a)) a (.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (.f64 (.f64 (*.f64 a a) a) a)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (/.f64 a (+.f64 b a)))) (-.f64 a b))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.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 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 b a)) (-.f64 a b))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) a)) (/.f64 (-.f64 a b) a))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal -1 binary64) (.f64 a a)))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 b b (.f64 a a)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (/.f64 (neg.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 (-.f64 a b) (.f64 a a)))
(*.f64 (/.f64 (neg.f64 (+.f64 b a)) a) (/.f64 (-.f64 a b) (neg.f64 a)))
(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 a (/.f64 (.f64 b b) a))))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (neg.f64 (-.f64 a b)) a))
(.f64 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 a b)) (.f64 a a)))
(.f64 (/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) a))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) a))
(.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))
(.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (neg.f64 (+.f64 b a)) (/.f64 (-.f64 a b) (.f64 (neg.f64 a) a)))
(.f64 (neg.f64 (+.f64 b a)) (.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a (/.f64 (.f64 b b) a)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(.f64 (neg.f64 (-.f64 a (/.f64 (.f64 b b) a))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 a a) a) a)))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 b (*.f64 a a)) b)))
(.f64 (-.f64 a (/.f64 (.f64 b b) a)) (/.f64 #s(literal 1 binary64) a))
(.f64 (-.f64 a b) (.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (.f64 (.f64 b b) b) b))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 (.f64 (neg.f64 b) b) (.f64 a a)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (.f64 b b) b) b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 a a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 a a) a) a)) a (.f64 (.f64 (.f64 (.f64 b b) b) b) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (.f64 b b) b) b))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (neg.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (fma.f64 b b (.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 (.f64 b b) b) b (-.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 b (.f64 a a)) (neg.f64 b)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))
(neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)))) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 a a) (.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 a a) a) a)) a (.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (.f64 (.f64 (.f64 a a) a) a)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (fma.f64 (.f64 b (+.f64 b a)) (.f64 b (-.f64 b a)) (.f64 (.f64 (.f64 a a) a) a)) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 (.f64 a a) a) (/.f64 (.f64 (.f64 a a) a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (.f64 (.f64 a a) a) (/.f64 a (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (.f64 b b) (.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 (.f64 (.f64 a a) a) a) (/.f64 (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (.f64 (.f64 (.f64 a a) a) a) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a))))))
(fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)))))
(fma.f64 (.f64 b b) #s(literal -1 binary64) (.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(fma.f64 (.f64 a a) (/.f64 (.f64 (.f64 (.f64 a a) a) a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (.f64 a a) (/.f64 (.f64 a a) (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (neg.f64 b) b))
(fma.f64 a (/.f64 (.f64 (.f64 a a) a) (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 a (/.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 a (-.f64 a b) (*.f64 b (-.f64 a b)))
(fma.f64 a (+.f64 b a) (*.f64 (neg.f64 b) (+.f64 b a)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b))
(-.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 a (fma.f64 b b (.f64 a a)))) (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))
(-.f64 (.f64 a a) (.f64 b b))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 b a) (-.f64 b a)))) #s(literal -1 binary64)))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(+.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b)))
(+.f64 (.f64 a (+.f64 b a)) (.f64 (neg.f64 b) (+.f64 b a)))
(+.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a))
(+.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) (neg.f64 b)))
(+.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b))
(+.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 a (fma.f64 b b (.f64 a a)))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)))))
(+.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
(.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(pow.f64 (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 a a) (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 a a) (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #s(literal -1/2 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (neg.f64 a))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))) (sqrt.f64 (.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 a a) (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))

eval100.0ms (1.7%)

Memory: -23.7MiB live, 135.2MiB allocated
Compiler: Compiled 13 942 to 1 678 computations (88% saved)

prune79.0ms (1.4%)

Memory

-4.9MiB live, 159.9MiB 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
▶	81.0%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	82.2%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	82.2%	(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))))
	80.7%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
▶	97.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 144 to 94 computations (34.7% saved)

simplify148.0ms (2.6%)

Memory

24.9MiB live, 222.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

12 848×	`lower-fma.f32`
12 844×	`lower-fma.f64`
3 642×	`lower-*.f32`
3 636×	`lower-*.f64`
1 666×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	212
0	54	214
1	103	202
2	191	202
3	341	202
4	626	202
5	1645	202
6	6297	202
0	8114	202

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

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

localize94.0ms (1.6%)

Memory

-6.7MiB live, 153.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))))
accuracy	0.2421875	(.f64 (/.f64 b (.f64 a a)) b)
accuracy	12.15145237097118	(/.f64 b (*.f64 a a))
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.0078125	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.0234375	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy	11.813329837475182	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0	(*.f64 a a)
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	12.15145237097118	(/.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	1.9856398801421298	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
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	0.00390625	(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

54.0ms

256×

valid

Compiler

Compiled 214 to 32 computations (85% saved)

Precisions

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

ival-mult: 8.0ms (20.6% of total)

ival-sqrt: 8.0ms (20.6% of total)

ival-div: 7.0ms (18% of total)

ival-fabs: 7.0ms (18% of total)

ival-add: 3.0ms (7.7% of total)

ival-sub: 3.0ms (7.7% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.6%)

Memory

-0.9MiB live, 76.8MiB 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 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) (patch (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 b (.f64 a a)) b) (patch (.f64 (/.f64 b (.f64 a 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 (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 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#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 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#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 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#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 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#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 (/ 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 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #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 (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #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 (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #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 (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #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 (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #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 (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #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 (.f64 a a)) b #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow b 2) (pow a 2)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ b (pow a 2)) (taylor -inf a) (#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) #<representation binary64>) () ())) ())
#s(alt (fabs (- 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) (patch (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) (patch (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) (patch (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) (patch (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 b (.f64 a a)) b) (patch (.f64 (/.f64 b (.f64 a a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 b (.f64 a a)) b) (patch (.f64 (/.f64 b (.f64 a a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 b (.f64 a a)) b) (patch (.f64 (/.f64 b (.f64 a a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 b (.f64 a a)) b) (patch (.f64 (/.f64 b (.f64 a a)) b) #<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 -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (fabs (- 1 (* (/ b (* a a)) b))) (sqrt (fabs (- 1 (* (/ b (* a a)) b)))) (- 1 (* (/ b (* a a)) b)) (* (/ b (* a a)) b) (neg (/ b a)) (* a a))
4.0ms	b	@	0	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (fabs (- 1 (* (/ b (* a a)) b))) (sqrt (fabs (- 1 (* (/ b (* a a)) b)))) (- 1 (* (/ b (* a a)) b)) (* (/ b (* a a)) b) (neg (/ b a)) (* a a))
3.0ms	b	@	-inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (fabs (- 1 (* (/ b (* a a)) b))) (sqrt (fabs (- 1 (* (/ b (* a a)) b)))) (- 1 (* (/ b (* a a)) b)) (* (/ b (* a a)) b) (neg (/ b a)) (* a a))
3.0ms	a	@	-inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (fabs (- 1 (* (/ b (* a a)) b))) (sqrt (fabs (- 1 (* (/ b (* a a)) b)))) (- 1 (* (/ b (* a a)) b)) (* (/ b (* a a)) b) (neg (/ b a)) (* a a))
3.0ms	a	@	inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (fabs (- 1 (* (/ b (* a a)) b))) (sqrt (fabs (- 1 (* (/ b (* a a)) b)))) (- 1 (* (/ b (* a a)) b)) (* (/ b (* a a)) b) (neg (/ b a)) (* a a))

simplify165.0ms (2.9%)

Memory

7.7MiB live, 206.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 876×	`lower-fma.f64`
13 876×	`lower-fma.f32`
3 636×	`lower-*.f64`
3 636×	`lower-*.f32`
1 646×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	4239
1	297	4115
2	832	4103
3	3965	4091
0	8395	3877

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

rewrite228.0ms (4%)

Memory

-21.6MiB live, 296.2MiB allocated

Rules

4 704×	`lower-/.f32`
4 698×	`lower-/.f64`
4 294×	`lower-fma.f32`
4 290×	`lower-fma.f64`
3 566×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	186
0	54	188
1	206	157
2	1498	157
0	8398	157

Stop Event

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

Counts

21 → 1 114

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

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

eval261.0ms (4.5%)

Memory: 18.5MiB live, 365.9MiB allocated
Compiler: Compiled 38 328 to 3 579 computations (90.7% saved)

prune203.0ms (3.5%)

Memory

18.3MiB live, 256.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 730	1	1 731
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	1 731	6	1 737

Accuracy

100.0%

Counts

1 737 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
✓	82.2%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
✓	82.2%	(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))))
▶	80.7%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
✓	97.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 71 to 47 computations (33.8% saved)

simplify106.0ms (1.8%)

Memory

0.3MiB live, 118.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

8 620×	`lower-fma.f32`
8 618×	`lower-fma.f64`
3 164×	`lower-*.f32`
3 160×	`lower-*.f64`
1 600×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	92
0	28	98
1	53	98
2	113	98
3	219	98
4	544	86
5	1691	84
6	4932	84
0	8274	84

Stop Event

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

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

18.4MiB live, 57.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 b a)
accuracy	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.2578125	(/.f64 (/.f64 b a) a)
accuracy	0	(fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
accuracy	0.18197250976844204	(.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))
accuracy	12.021782744987858	(/.f64 (-.f64 a b) (*.f64 a a))

Samples

30.0ms

256×

valid

Compiler

Compiled 97 to 18 computations (81.4% saved)

Precisions

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

ival-div: 4.0ms (19.8% of total)

ival-mult: 4.0ms (19.8% of total)

ival-sub: 4.0ms (19.8% of total)

ival-sqrt: 3.0ms (14.8% of total)

ival-add: 2.0ms (9.9% of total)

ival-fabs: 2.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

-6.6MiB live, 32.3MiB allocated

Counts

9 → 216

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	((* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (/ (/ b a) a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ b a))
2.0ms	b	@	inf	((* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (/ (/ b a) a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ b a))
2.0ms	b	@	-inf	((* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (/ (/ b a) a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ b a))
2.0ms	a	@	-inf	((* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (/ (/ b a) a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ b a))
1.0ms	a	@	inf	((* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (/ (/ b a) a) (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (/ b a))

simplify188.0ms (3.3%)

Memory

-13.5MiB live, 203.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 866×	`lower-fma.f64`
11 866×	`lower-fma.f32`
2 474×	`lower-*.f64`
2 474×	`lower-*.f32`
2 216×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1972
1	209	1939
2	568	1903
3	2075	1711
4	6644	1711
0	8099	1597

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

rewrite195.0ms (3.4%)

Memory

-18.7MiB live, 214.0MiB allocated

Rules

5 806×	`lower-fma.f32`
5 804×	`lower-fma.f64`
4 954×	`lower-*.f32`
4 950×	`lower-*.f64`
4 562×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	78
0	28	78
1	113	78
2	901	69
0	9675	69

Stop Event

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

Counts

9 → 730

Calls

Call 1

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

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

eval135.0ms (2.3%)

Memory: 27.6MiB live, 222.1MiB allocated
Compiler: Compiled 20 735 to 3 160 computations (84.8% saved)

prune167.0ms (2.9%)

Memory

-13.7MiB live, 238.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	946	0	946
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	946	6	952

Accuracy

100.0%

Counts

952 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
✓	82.2%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
✓	82.2%	(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))))
✓	80.7%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
✓	97.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 156 to 86 computations (44.9% saved)

regimes21.0ms (0.4%)

Memory

-5.3MiB live, 34.2MiB 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 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))))
(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))

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

Calls

7 calls:

5.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
3.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
2.0ms	(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)

regimes14.0ms (0.3%)

Memory

-11.9MiB live, 27.3MiB allocated

Counts

5 → 2

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`a`
99.0%	2	`b`
99.0%	2	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
99.0%	2	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.0%	2	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
99.0%	2	`(*.f64 a a)`
99.0%	2	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes13.0ms (0.2%)

Memory

27.0MiB live, 27.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`a`
99.0%	2	`b`
99.0%	2	`(*.f64 a a)`
99.0%	2	`(*.f64 b b)`
99.0%	2	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
99.0%	2	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.0%	2	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes25.0ms (0.4%)

Memory

-16.2MiB live, 25.2MiB allocated

Counts

3 → 2

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

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

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

Calls

7 calls:

15.0ms	(*.f64 b b)
2.0ms	a
2.0ms	(*.f64 a a)
2.0ms	b
1.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Results

Accuracy	Segments	Branch
99.0%	2	`a`
99.0%	2	`b`
99.0%	2	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
99.0%	2	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.0%	2	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
99.0%	2	`(*.f64 a a)`
99.0%	2	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes23.0ms (0.4%)

Memory

-21.7MiB live, 17.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
97.0%	1	`a`
97.0%	1	`b`
97.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.0%	1	`(*.f64 a a)`
97.0%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999959164	1.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999959164	1.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.24e-322

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	138
1	62	138
2	87	138
3	107	138
4	121	138
5	125	138
6	126	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #s(literal 4503599627352105/4503599627370496 binary64)) (sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a)))) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #s(literal 4503599627352105/4503599627370496 binary64)) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #s(literal 4503599627352105/4503599627370496 binary64)) (sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a)))) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #s(literal 4503599627352105/4503599627370496 binary64)) (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) (.f64 a a))))) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #s(literal 4503599627352105/4503599627370496 binary64)) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #s(literal 4503599627352105/4503599627370496 binary64)) (sqrt.f64 (fabs.f64 (-.f64 (.f64 (/.f64 b (.f64 a a)) b) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 0 binary64)) (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

soundness626.0ms (10.9%)

Memory

-8.4MiB live, 352.5MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
4 704×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	186
0	54	188
1	206	157
2	1498	157
0	8398	157
0	25	954
1	55	840
2	165	840
3	712	840
4	3843	840
0	8014	792
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×	node limit
1×	iter limit

Compiler

Compiled 242 to 123 computations (49.2% saved)

preprocess60.0ms (1%)

Memory

25.8MiB live, 65.1MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 270 to 120 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.3%)

sample1.2s (21.6%)

explain133.0ms (2.3%)

preprocess255.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify188.0ms (3.3%)

localize49.0ms (0.9%)

series7.0ms (0.1%)

simplify286.0ms (5%)

rewrite636.0ms (11%)

eval100.0ms (1.7%)

prune79.0ms (1.4%)

simplify148.0ms (2.6%)

localize94.0ms (1.6%)

series37.0ms (0.6%)

simplify165.0ms (2.9%)

rewrite228.0ms (4%)

eval261.0ms (4.5%)

prune203.0ms (3.5%)

simplify106.0ms (1.8%)

localize40.0ms (0.7%)

series19.0ms (0.3%)

simplify188.0ms (3.3%)

rewrite195.0ms (3.4%)

eval135.0ms (2.3%)

prune167.0ms (2.9%)

regimes21.0ms (0.4%)

regimes14.0ms (0.3%)

regimes13.0ms (0.2%)

regimes25.0ms (0.4%)

regimes23.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness626.0ms (10.9%)

preprocess60.0ms (1%)

end0.0ms (0%)

Profiling