Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.2%)

Memory

-15.0MiB live, 32.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.5s (23.2%)

Memory

20.8MiB live, 1 230.8MiB allocated

Samples

906.0ms	8 256×	0	valid
97.0ms	793×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 618.0ms

ival-mult: 160.0ms (25.9% of total)

ival-fabs: 111.0ms (18% of total)

ival-<=: 91.0ms (14.7% of total)

ival-div: 89.0ms (14.4% of total)

ival-sqrt: 69.0ms (11.2% of total)

ival-sub: 65.0ms (10.5% of total)

ival-and: 17.0ms (2.8% of total)

exact: 11.0ms (1.8% of total)

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

Bogosity

explain121.0ms (1.9%)

Memory

-8.2MiB live, 139.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
65	-	-	`(/.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	65	0
↳	`(*.f64 b b)`	underflow	185
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	65
↳	`(*.f64 a a)`	underflow	65
↳	`(*.f64 a a)`	underflow	65

Confusion

	Predicted +	Predicted -
+	65	0
-	0	191

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	0	0	191

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	191
1	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

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

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

ival-sqrt: 4.0ms (22% of total)

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

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

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

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

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

preprocess231.0ms (3.5%)

Memory

-4.8MiB live, 228.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify156.0ms (2.4%)

Memory

-13.9MiB live, 182.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize27.0ms (0.4%)

Memory

-4.1MiB live, 35.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a a)
accuracy	0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.015625	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	15.742366328482683	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

15.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (34.8% of total)

ival-div: 2.0ms (23.2% of total)

ival-sqrt: 2.0ms (23.2% of total)

ival-sub: 1.0ms (11.6% of total)

ival-fabs: 1.0ms (11.6% of total)

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

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

series8.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

6 calls:

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

simplify207.0ms (3.2%)

Memory

-6.1MiB live, 155.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite149.0ms (2.3%)

Memory

19.8MiB live, 179.7MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

5 → 416

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (log.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))) (pow.f64 a #s(literal -2 binary64)))
(.f64 (.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) a) a)) (fabs.f64 (pow.f64 a #s(literal -1 binary64))))
(.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) a) a)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))
(.f64 (fabs.f64 (+.f64 b a)) (.f64 (fabs.f64 (-.f64 b a)) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (/.f64 (-.f64 a b) a) a)))
(.f64 (pow.f64 a #s(literal -2 binary64)) (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 a #s(literal -2 binary64)))
(pow.f64 (/.f64 a (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))))) (exp.f64 (log.f64 (.f64 (neg.f64 a) a))))
(/.f64 (exp.f64 (log.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)))) a)
(/.f64 (exp.f64 (log.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))) (.f64 a a))
(/.f64 (/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 a)) a)
(/.f64 (/.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #s(literal -1 binary64)) (.f64 a a))
(/.f64 (/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a) (neg.f64 a))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 a #s(literal -2 binary64))) (fabs.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal -2 binary64))) (fabs.f64 (fma.f64 (.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 a #s(literal -1 binary64))) a)
(/.f64 (.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))) (.f64 a a))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (neg.f64 a))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 a #s(literal -1 binary64))) (.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) a))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) (.f64 (fabs.f64 (fma.f64 b b (.f64 a a))) (.f64 (neg.f64 a) a)))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (fabs.f64 (fma.f64 b b (.f64 a a))) (.f64 a a)))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal -1 binary64))) (.f64 (fabs.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) a))
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(/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 a (/.f64 (*.f64 b b) a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 a a) (pow.f64 a #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (.f64 (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 b a) a) (/.f64 a (-.f64 a b)))
(/.f64 (neg.f64 (-.f64 a (/.f64 (*.f64 b b) a))) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 a) a) (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (.f64 a a) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 a a) (pow.f64 a #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 (.f64 (neg.f64 a) a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 (.f64 a a) (neg.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a)))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (neg.f64 (neg.f64 a)))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 a) a) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (.f64 (neg.f64 a) a) (neg.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 a a) (pow.f64 a #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))
(neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (*.f64 b (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) b) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (neg.f64 (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 b (neg.f64 (*.f64 b (pow.f64 a #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 a a) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 a a) (pow.f64 a #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (.f64 a a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (.f64 a a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 a a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 a a)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) (.f64 (neg.f64 b) b)) #s(literal 1 binary64))
(+.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal -2 binary64)) (.f64 (neg.f64 b) b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))

eval118.0ms (1.8%)

Memory: 0.8MiB live, 121.1MiB allocated
Compiler: Compiled 10 830 to 1 903 computations (82.4% saved)

prune69.0ms (1.1%)

Memory

-8.9MiB live, 113.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	554	7	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	555	7	562

Accuracy

100.0%

Counts

562 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	74.6%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
	99.8%	(sqrt.f64 (fabs.f64 (.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))))
	99.8%	(sqrt.f64 (fabs.f64 (.f64 (+.f64 b a) (.f64 (/.f64 (-.f64 a b) a) (pow.f64 a #s(literal -1 binary64))))))
▶	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 172 to 134 computations (22.1% saved)

simplify198.0ms (3%)

Memory

-17.6MiB live, 180.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (/.f64 b a) a)
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
cost-diff	0	(-.f64 a b)
cost-diff	0	(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff	0	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
cost-diff	0	(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
cost-diff	0	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
cost-diff	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
cost-diff	0	(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))

Rules

13 160×	`lower-fma.f32`
13 158×	`lower-fma.f64`
2 620×	`lower-+.f32`
2 616×	`lower-+.f64`
2 456×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	290
0	60	293
1	107	258
2	188	258
3	363	258
4	731	258
5	2362	258
6	7055	258
0	8217	258

Stop Event

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

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 b a) #s(literal 4 binary64))
(/.f64 b a)
b
a
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 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 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(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)
(*.f64 a a)
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 b a)
b
a
#s(literal -1 binary64)

localize82.0ms (1.3%)

Memory

24.2MiB live, 102.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.015625	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy	0.22265625	(/.f64 (/.f64 b a) a)
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.015625	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
accuracy	15.742366328482683	(/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.0234375	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy	16.007224804669924	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.015625	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.3473472364359598	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.015625	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
accuracy	0.03515625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
accuracy	0.3724212890737681	(pow.f64 (/.f64 b a) #s(literal 2 binary64))
accuracy	0.42593398444260855	(pow.f64 (/.f64 b a) #s(literal 4 binary64))

Samples

56.0ms

256×

valid

Compiler

Compiled 268 to 34 computations (87.3% saved)

Precisions

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

ival-div: 9.0ms (22.6% of total)

ival-sqrt: 6.0ms (15% of total)

ival-mult: 5.0ms (12.5% of total)

ival-pow: 5.0ms (12.5% of total)

ival-fabs: 4.0ms (10% of total)

ival-add: 3.0ms (7.5% of total)

ival-sub: 3.0ms (7.5% of total)

ival-pow2: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.7%)

Memory

-14.1MiB live, 66.3MiB allocated

Counts

20 → 480

Calls

Call 1

Inputs
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())
#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 b a) a) (patch (/.f64 (/.f64 b a) a) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor 0 b) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor 0 b) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor 0 b) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
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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 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (patch (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (taylor -inf a) (#s(alt (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (patch (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) (patch (sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor -inf a) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 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 (/ (pow b 4) (pow a 4)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 4) (pow a 4)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 4) (pow a 4)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 4) (pow a 4)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) (patch (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))) (- 1 (pow (/ b a) 4)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (/ (/ b a) a) (pow (/ b a) 4) (pow (/ b a) 2) (/ (fabs (* (- a b) (+ b a))) (* a a)))
6.0ms	a	@	-inf	((sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))) (- 1 (pow (/ b a) 4)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (/ (/ b a) a) (pow (/ b a) 4) (pow (/ b a) 2) (/ (fabs (* (- a b) (+ b a))) (* a a)))
6.0ms	b	@	inf	((sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))) (- 1 (pow (/ b a) 4)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (/ (/ b a) a) (pow (/ b a) 4) (pow (/ b a) 2) (/ (fabs (* (- a b) (+ b a))) (* a a)))
5.0ms	b	@	0	((sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))) (- 1 (pow (/ b a) 4)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (/ (/ b a) a) (pow (/ b a) 4) (pow (/ b a) 2) (/ (fabs (* (- a b) (+ b a))) (* a a)))
4.0ms	a	@	inf	((sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (pow (/ b a) 2))) (- 1 (pow (/ b a) 4)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (- a b) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (/ (/ b a) a) (pow (/ b a) 4) (pow (/ b a) 2) (/ (fabs (* (- a b) (+ b a))) (* a a)))

simplify210.0ms (3.2%)

Memory

10.4MiB live, 239.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 630×	`lower-fma.f64`
19 630×	`lower-fma.f32`
3 276×	`lower-*.f64`
3 276×	`lower-*.f32`
1 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	5116
1	359	4624
2	1032	4624
3	4602	4624
0	8701	4432

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 477

Calls

Call 1

Inputs
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(pow a 2)
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 4) (pow a 4)))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 4) (pow a 4)))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* -1 (pow b 2))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (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 (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* -1 (/ (pow b 4) (pow a 4)))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* -1 b)
(- a b)
(- a b)
(- a b)
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(/ (fabs (* (+ a b) (- a b))) (pow a 2))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 4) (pow a 4))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))

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

rewrite239.0ms (3.7%)

Memory

21.4MiB live, 267.3MiB allocated

Rules

5 308×	`lower-/.f32`
5 298×	`lower-/.f64`
4 240×	`lower-*.f32`
4 236×	`lower-*.f64`
3 608×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	229
0	60	250
1	237	172
2	1682	172
0	8461	172

Stop Event

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

Counts

20 → 1 059

Calls

Call 1

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

Outputs
(.f64 (/.f64 (pow.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1/4 binary64)) (sqrt.f64 a)) (/.f64 (pow.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1/4 binary64)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 a)) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 a b))) (sqrt.f64 a)))
(*.f64 (sqrt.f64 (/.f64 (fabs.f64 (-.f64 b a)) a)) (sqrt.f64 (/.f64 (fabs.f64 (+.f64 a b)) a)))
(*.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 b a)) a) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fabs.f64 (+.f64 a b)) a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (sqrt.f64 (pow.f64 a #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))))) (sqrt.f64 (pow.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))))) (pow.f64 (pow.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (/.f64 (fabs.f64 (+.f64 a b)) (.f64 a a))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (.f64 (fabs.f64 (+.f64 a b)) (pow.f64 a #s(literal -2 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (pow.f64 (/.f64 (fabs.f64 (+.f64 a b)) (.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (pow.f64 (.f64 (fabs.f64 (+.f64 a b)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))))
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(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a (neg.f64 b)))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 a b))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b))))
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(-.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))
(-.f64 a b)
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(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 8 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 12 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 8 binary64))) (pow.f64 (/.f64 b a) #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fabs.f64 (.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fabs.f64 (.f64 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 a a (.f64 b b)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))) a)
(/.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64))) (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))) (.f64 a a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 a (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 a a)))
(neg.f64 (/.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (neg.f64 a) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 a) a)) (/.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (neg.f64 a) a)))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 0 binary64)))
(fabs.f64 (/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 a a)))
(fabs.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 (neg.f64 a) a)))
(fabs.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a a)))
(fabs.f64 (.f64 (neg.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 a #s(literal -2 binary64))))
(fabs.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (pow.f64 a #s(literal -2 binary64))))
(fabs.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(fabs.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal -1 binary64)))

eval308.0ms (4.7%)

Memory: -17.0MiB live, 404.4MiB allocated
Compiler: Compiled 39 539 to 4 338 computations (89% saved)

prune195.0ms (3%)

Memory

7.0MiB live, 298.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 843	5	1 848
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	1 848	7	1 855

Accuracy

100.0%

Counts

1 855 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (sqrt.f64 a))
▶	4.3%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
▶	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))))
▶	99.2%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
✓	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
▶	75.4%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 137 to 113 computations (17.5% saved)

simplify209.0ms (3.2%)

Memory

-5.1MiB live, 231.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
cost-diff	0	(fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
cost-diff	0	(fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (sqrt.f64 a))
cost-diff	192	(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
cost-diff	0	(/.f64 b (*.f64 a a))
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
cost-diff	0	#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
cost-diff	0	(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
cost-diff	0	(/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))))
cost-diff	192	(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))

Rules

17 568×	`lower-fma.f32`
17 566×	`lower-fma.f64`
4 058×	`lower-*.f32`
4 052×	`lower-*.f64`
2 004×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	351
0	75	351
1	120	339
2	220	335
3	480	317
4	1052	317
5	3822	317
0	8142	317

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (2.1%)

Memory

-3.0MiB live, 156.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
accuracy	0.03515625	(/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
accuracy	0.3724212890737681	(pow.f64 (/.f64 b a) #s(literal 2 binary64))
accuracy	0.5583297627071009	#s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))
accuracy	0.03515625	(/.f64 (-.f64 a b) a)
accuracy	0.03515625	(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
accuracy	0.037441259768442016	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (sqrt.f64 a))
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.015625	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy	16.323371229447957	(/.f64 b (*.f64 a a))
accuracy	0	(fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))
accuracy	0.0234375	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
accuracy	16.007224804669924	(sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))))
accuracy	44.53939805553588	#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
accuracy	0.01953125	(/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))
accuracy	0.03515625	(/.f64 (-.f64 a b) a)
accuracy	0.03515625	(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))

Samples

76.0ms

256×

valid

Compiler

Compiled 307 to 44 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 14.0ms (24.4% of total)

ival-sqrt: 9.0ms (15.7% of total)

ival-mult: 8.0ms (13.9% of total)

ival-pow2: 8.0ms (13.9% of total)

ival-add: 5.0ms (8.7% of total)

ival-fabs: 5.0ms (8.7% of total)

ival-sub: 3.0ms (5.2% of total)

ival-pow: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.9%)

Memory

3.6MiB live, 81.4MiB allocated

Counts

21 → 504

Calls

Call 1

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

Outputs
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (patch (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (pow b 2) a))) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (patch (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (pow b 2) a))) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (patch (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (pow b 2) a))) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (patch (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (patch (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (patch (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (patch (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) (patch (/.f64 a (fabs.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) (patch (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) (patch (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) (patch (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* (+ a b) (- a b)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)))) (patch (sqrt.f64 (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b))) (patch (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b))) (patch (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b))) (patch (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b))) #<representation binary64>) () ())) ())
#s(alt (fabs (* (+ a b) (- a b))) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b))) (patch (fabs.f64 #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)) (patch #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (* -1 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)) (patch #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)) (patch #s(approx ( (- a b) (+ b a)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (- a b) (+ b a)) (.f64 (neg.f64 b) b)) (patch #s(approx ( (- a b) (+ b a)) (*.f64 (neg.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 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))) (taylor 0 b) (#s(alt #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (patch #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 a b) a) (patch (/.f64 (-.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify211.0ms (3.2%)

Memory

22.2MiB live, 223.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 658×	`lower-fma.f64`
13 658×	`lower-fma.f32`
2 968×	`lower-*.f64`
2 968×	`lower-*.f32`
2 160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	5572
1	434	5235
2	1216	4919
3	6508	4919
0	8275	4795

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

Calls

Call 1

Inputs
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
a
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(pow a 2)
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 4) (pow a 4)))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* -1 (/ b a))
(* b (- (/ 1 b) (/ 1 a)))
(* b (- (/ 1 b) (/ 1 a)))
(* b (- (/ 1 b) (/ 1 a)))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* -1 (pow b 2))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 4) (pow a 4)))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* -1 (/ b a))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(* -1 (/ (pow b 2) a))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* -1 (/ (pow b 4) (pow a 4)))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(* -1 (/ b a))
(/ (+ a (* -1 b)) a)
(/ (+ a (* -1 b)) a)
(/ (+ a (* -1 b)) a)
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
a
(* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(fabs (* (+ a b) (- a b)))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
a
(* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
1
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(+ 1 (* -1 (/ b a)))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))

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

rewrite185.0ms (2.9%)

Memory

-7.7MiB live, 222.3MiB allocated

Rules

4 780×	`lower-fma.f32`
4 778×	`lower-fma.f64`
4 462×	`lower-/.f32`
4 446×	`lower-/.f64`
3 792×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	272
0	75	273
1	275	256
2	1987	256
0	8620	256

Stop Event

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

Counts

21 → 637

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (fabs.f64 (+.f64 b a))) (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)))) (sqrt.f64 a)) (/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)))) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a))) (neg.f64 (sqrt.f64 a))) (/.f64 (sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a))) (neg.f64 (sqrt.f64 a))))
(.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (neg.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a))))
(.f64 (pow.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) #s(literal 1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)))
(*.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))) a))
(.f64 (/.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) a) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 a (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)))))
(.f64 (sqrt.f64 (/.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) a)) (sqrt.f64 (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a)))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) (pow.f64 a #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) a))
(pow.f64 (.f64 (/.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) a) (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (/.f64 a (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a))) (/.f64 a (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 a (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a)) #s(literal 2 binary64))
(pow.f64 (/.f64 a (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (pow.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)))) (neg.f64 (neg.f64 a)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a))) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a))))
(/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)))))
(sqrt.f64 (.f64 (/.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) a) (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) (neg.f64 a)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) a)) a)) #s(literal 1/2 binary64) (.f64 (log.f64 (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (/.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) a)))
(.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a))
(.f64 (-.f64 a b) (.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 b a)))
(*.f64 (-.f64 a b) (/.f64 (+.f64 b a) a))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))
(pow.f64 (/.f64 a (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) a) (/.f64 (.f64 a a) a) (fma.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 b b) a) (.f64 (/.f64 (.f64 a a) a) (/.f64 (*.f64 b b) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 (-.f64 a b) a)) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 (-.f64 a b) a)) #s(literal 3 binary64))) (fma.f64 (.f64 b (/.f64 (-.f64 a b) a)) (.f64 b (/.f64 (-.f64 a b) a)) (-.f64 (.f64 (.f64 a (/.f64 (-.f64 a b) a)) (.f64 a (/.f64 (-.f64 a b) a))) (.f64 (.f64 b (/.f64 (-.f64 a b) a)) (.f64 a (/.f64 (-.f64 a b) a))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 (-.f64 a b) a)) #s(literal 3 binary64)) (pow.f64 (.f64 b (/.f64 (-.f64 a b) a)) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 (-.f64 a b) a)) (.f64 a (/.f64 (-.f64 a b) a)) (-.f64 (.f64 (.f64 b (/.f64 (-.f64 a b) a)) (.f64 b (/.f64 (-.f64 a b) a))) (.f64 (.f64 a (/.f64 (-.f64 a b) a)) (.f64 b (/.f64 (-.f64 a b) a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 a b) a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 a b) a) a) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (-.f64 a b) a) b) (.f64 (/.f64 (-.f64 a b) a) b) (-.f64 (.f64 (.f64 (/.f64 (-.f64 a b) a) a) (.f64 (/.f64 (-.f64 a b) a) a)) (.f64 (.f64 (/.f64 (-.f64 a b) a) b) (.f64 (/.f64 (-.f64 a b) a) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 a b) a) a) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 a b) a) b) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (-.f64 a b) a) a) (.f64 (/.f64 (-.f64 a b) a) a) (-.f64 (.f64 (.f64 (/.f64 (-.f64 a b) a) b) (.f64 (/.f64 (-.f64 a b) a) b)) (.f64 (.f64 (/.f64 (-.f64 a b) a) a) (.f64 (/.f64 (-.f64 a b) a) b)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 b a))) (neg.f64 (/.f64 a (-.f64 a b))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (-.f64 a b) a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 a b) a))) (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (/.f64 (-.f64 a b) a))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 a b) a) (.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (-.f64 b a)))
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(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) a))
(/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1 binary64)) (*.f64 (+.f64 b a) a))
(/.f64 (-.f64 (.f64 (neg.f64 a) a) (.f64 a (neg.f64 b))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (/.f64 (.f64 a a) b) (.f64 a #s(literal 1 binary64))) (/.f64 (*.f64 a a) b))
(/.f64 (.f64 (-.f64 a b) a) (.f64 a a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 a (fma.f64 b (+.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (-.f64 a b)) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (neg.f64 (.f64 a (+.f64 b a))))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (neg.f64 a)) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 a b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 a b))))
(/.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (.f64 a (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 a b) a) (+.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 a b) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (-.f64 a b)) a))
(neg.f64 (/.f64 (-.f64 a b) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a)))) (/.f64 (pow.f64 (/.f64 a b) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 b a)))))
(-.f64 (/.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 a a) b)) (/.f64 (.f64 a #s(literal 1 binary64)) (/.f64 (.f64 a a) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 a (fma.f64 b (+.f64 b a) (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 a (fma.f64 b (+.f64 b a) (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (.f64 a (+.f64 b a))) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (.f64 a (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (.f64 a (+.f64 b a))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (.f64 a (+.f64 b a))))
(-.f64 (/.f64 (.f64 a a) (.f64 a (+.f64 b a))) (/.f64 (.f64 b b) (.f64 a (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (.f64 a a) a) (+.f64 b a)) (/.f64 (/.f64 (.f64 b b) a) (+.f64 b a)))
(-.f64 (/.f64 (+.f64 a #s(literal 0 binary64)) a) (/.f64 b a))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))) a) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a))) a))
(-.f64 (/.f64 (/.f64 (.f64 a a) (+.f64 b a)) a) (/.f64 (/.f64 (.f64 b b) (+.f64 b a)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (neg.f64 b)) (.f64 (neg.f64 a) a)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 b a) (.f64 a a)))
(-.f64 #s(literal 1 binary64) (/.f64 b a))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 a b))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 b a)))
(.f64 (pow.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (.f64 a a)) #s(literal 1 binary64)) b)
(.f64 (.f64 (/.f64 b a) b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)))
(.f64 (pow.f64 a #s(literal -2 binary64)) (.f64 b b))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(.f64 (.f64 b b) (pow.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 b b) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 b b) (pow.f64 a #s(literal -2 binary64)))
(.f64 b (pow.f64 (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
(.f64 b (/.f64 b (.f64 a a)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (neg.f64 a)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 b a)))
(pow.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a b) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (/.f64 b a))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) (neg.f64 b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 (*.f64 b (/.f64 b a))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 a))
(/.f64 (neg.f64 (.f64 (neg.f64 b) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 a) (/.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 b))) (neg.f64 (.f64 (/.f64 a b) (neg.f64 a))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) b)) (neg.f64 (.f64 (/.f64 a b) a)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) b)) (neg.f64 (/.f64 (.f64 a a) b)))
(/.f64 (neg.f64 (.f64 b #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 a a) b)))
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (*.f64 b (/.f64 b a)) a)
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (neg.f64 (.f64 (neg.f64 b) b)) (neg.f64 (.f64 (neg.f64 a) a)))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/.f64 (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 a b)))
(/.f64 (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (.f64 b #s(literal 1 binary64)) (/.f64 (.f64 a a) b))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 b)) (.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (.f64 #s(literal 1 binary64) b) (.f64 (/.f64 a b) a))
(/.f64 (.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a a) b))
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a a) (.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))))
(/.f64 (.f64 b b) (.f64 a a))
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (*.f64 a a) b)))
(/.f64 b (/.f64 (*.f64 a a) b))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 a b)) (/.f64 (/.f64 b (neg.f64 a)) (/.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 a) a)) (/.f64 (.f64 b b) (*.f64 (neg.f64 a) a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))

eval226.0ms (3.5%)

Memory: 15.1MiB live, 287.0MiB allocated
Compiler: Compiled 25 224 to 3 384 computations (86.6% saved)

prune155.0ms (2.4%)

Memory

4.0MiB live, 164.2MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 411	3	1 414
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1 414	7	1 421

Accuracy

100.0%

Counts

1 421 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.3%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
▶	99.9%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a))
▶	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))))
▶	99.2%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)))))
✓	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	75.4%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 76 to 64 computations (15.8% saved)

simplify211.0ms (3.2%)

Memory

-11.4MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))
cost-diff	0	(fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a))
cost-diff	0	(fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))
cost-diff	0	(/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))
cost-diff	0	(/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)))
cost-diff	0	(fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a))))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a))

Rules

22 482×	`lower-fma.f32`
22 480×	`lower-fma.f64`
2 702×	`lower-*.f32`
2 700×	`lower-*.f64`
1 636×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	305
0	48	305
1	77	305
2	123	301
3	223	301
4	508	301
5	1176	283
6	2736	283
7	5692	283
0	8136	279

Stop Event

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

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))))
(fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a))))
(fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)))
(/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))
#s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 b a) b) a)
(*.f64 (/.f64 b a) b)
(/.f64 b a)
b
a
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))))
(sqrt.f64 (/.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b)))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))
(/.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b)))) a)
#s(literal 1 binary64)
(/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))
(/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b)))))
a
(fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))
(fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b))))
#s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))
#s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b)))
(fma.f64 (/.f64 (neg.f64 b) a) b a)
(-.f64 a (*.f64 (/.f64 b a) b))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b))))) (sqrt.f64 a))
(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))
(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b)))))
(fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))
(fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b))))
#s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))
#s(approx (* (+ a b) (/ (- a b) a)) (-.f64 a (*.f64 (/.f64 b a) b)))
(fma.f64 (/.f64 (neg.f64 b) a) b a)
(-.f64 a (*.f64 (/.f64 b a) b))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(sqrt.f64 a)

localize77.0ms (1.2%)

Memory

35.4MiB live, 113.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))
accuracy	0	#s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))
accuracy	0.037441259768442016	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a))
accuracy	0	#s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))
accuracy	0.015625	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))))
accuracy	0.01953125	(/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))
accuracy	0.03515625	(/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)))
accuracy	0.109375	(*.f64 (/.f64 b a) b)
accuracy	0.5583297627071009	#s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))
accuracy	14.392887109329326	(/.f64 (*.f64 (/.f64 b a) b) a)

Samples

48.0ms

256×

valid

Compiler

Compiled 229 to 30 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 12.0ms (35.5% of total)

ival-sqrt: 6.0ms (17.7% of total)

ival-mult: 4.0ms (11.8% of total)

ival-add: 3.0ms (8.9% of total)

ival-fabs: 2.0ms (5.9% of total)

ival-sub: 2.0ms (5.9% of total)

ival-pow: 2.0ms (5.9% of total)

ival-neg: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.7%)

Memory

-10.4MiB live, 35.6MiB allocated

Counts

14 → 336

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) #<representation binary64>) () ())
#s(alt (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) (patch (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) (patch #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 b a) b) a) (patch (/.f64 (.f64 (/.f64 b a) b) a) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 b a) b) (patch (.f64 (/.f64 b a) b) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow b 2) (pow a 2))) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow b 2) (pow a 2))) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow b 2) (pow a 2))) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))) (taylor 0 b) (#s(alt (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) (patch (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (patch (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (/ (* (+ a b) (- a b)) a)) a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt (/ a (fabs (/ (* (+ a b) (- a b)) a))) (taylor 0 b) (#s(alt (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) (patch (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) (patch (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) (patch (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) (patch (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a)) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) (patch (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) (patch #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) (patch #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) (patch #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) (patch #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 (/.f64 b a) b) a) (patch (/.f64 (.f64 (/.f64 b a) b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 (/.f64 b a) b) a) (patch (/.f64 (.f64 (/.f64 b a) b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 (/.f64 b a) b) a) (patch (/.f64 (.f64 (/.f64 b a) b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 (/.f64 b a) b) a) (patch (/.f64 (.f64 (/.f64 b a) b) a) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 4) (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (patch #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (.f64 (/.f64 b a) b) (patch (.f64 (/.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (.f64 (/.f64 b a) b) (patch (.f64 (/.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (.f64 (/.f64 b a) b) (patch (.f64 (/.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (.f64 (/.f64 b a) b) (patch (.f64 (/.f64 b a) b) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	b	@	inf	((+ 1 (/ (* (/ b a) b) a)) (sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))) (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a))))) (sqrt (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a)))))) (/ a (fabs (* (+ a b) (/ (- a b) a)))) (fabs (* (+ a b) (/ (- a b) a))) (/ (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (sqrt a)) (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (* (+ a b) (/ (- a b) a)) (/ (* (/ b a) b) a) (- 1 (pow (/ b a) 4)) (* (/ b a) b))
3.0ms	b	@	-inf	((+ 1 (/ (* (/ b a) b) a)) (sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))) (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a))))) (sqrt (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a)))))) (/ a (fabs (* (+ a b) (/ (- a b) a)))) (fabs (* (+ a b) (/ (- a b) a))) (/ (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (sqrt a)) (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (* (+ a b) (/ (- a b) a)) (/ (* (/ b a) b) a) (- 1 (pow (/ b a) 4)) (* (/ b a) b))
3.0ms	a	@	-inf	((+ 1 (/ (* (/ b a) b) a)) (sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))) (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a))))) (sqrt (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a)))))) (/ a (fabs (* (+ a b) (/ (- a b) a)))) (fabs (* (+ a b) (/ (- a b) a))) (/ (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (sqrt a)) (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (* (+ a b) (/ (- a b) a)) (/ (* (/ b a) b) a) (- 1 (pow (/ b a) 4)) (* (/ b a) b))
2.0ms	b	@	0	((+ 1 (/ (* (/ b a) b) a)) (sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))) (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a))))) (sqrt (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a)))))) (/ a (fabs (* (+ a b) (/ (- a b) a)))) (fabs (* (+ a b) (/ (- a b) a))) (/ (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (sqrt a)) (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (* (+ a b) (/ (- a b) a)) (/ (* (/ b a) b) a) (- 1 (pow (/ b a) 4)) (* (/ b a) b))
2.0ms	a	@	0	((+ 1 (/ (* (/ b a) b) a)) (sqrt (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))))) (fabs (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a)))) (/ (- 1 (pow (/ b a) 4)) (+ 1 (/ (* (/ b a) b) a))) (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a))))) (sqrt (/ 1 (/ a (fabs (* (+ a b) (/ (- a b) a)))))) (/ a (fabs (* (+ a b) (/ (- a b) a)))) (fabs (* (+ a b) (/ (- a b) a))) (/ (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (sqrt a)) (sqrt (fabs (* (+ a b) (/ (- a b) a)))) (* (+ a b) (/ (- a b) a)) (/ (* (/ b a) b) a) (- 1 (pow (/ b a) 4)) (* (/ b a) b))

simplify148.0ms (2.3%)

Memory

-5.2MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 422×	`lower-fma.f64`
10 422×	`lower-fma.f32`
2 734×	`lower-*.f64`
2 734×	`lower-*.f32`
2 382×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	3827
1	266	3740
2	732	3736
3	3271	3448
0	8188	3382

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

Calls

Call 1

Inputs
1
(+ 1 (/ (pow b 2) (pow a 2)))
(+ 1 (/ (pow b 2) (pow a 2)))
(+ 1 (/ (pow b 2) (pow a 2)))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
a
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(+ a (* -1 (/ (pow b 2) a)))
(/ (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
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(/ (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 (/ (pow b 4) (pow a 4)))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a)
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(/ a (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (/ (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)) a))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))
(/ (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 (/ (pow b 4) (pow a 4)))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) (pow a 2))
(/ (+ (pow a 2) (pow b 2)) (pow a 2))
(/ (+ (pow a 2) (pow b 2)) (pow a 2))
(/ (+ (pow a 2) (pow b 2)) (pow a 2))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (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 (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(* -1 (/ (pow b 2) a))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)
(/ (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 (/ (pow b 4) (pow a 4)))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
1
(+ 1 (/ (pow b 2) (pow a 2)))
(+ 1 (/ (pow b 2) (pow a 2)))
(+ 1 (/ (pow b 2) (pow a 2)))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(/ (fabs (/ (* (+ a b) (- a b)) a)) a)
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(/ a (fabs (/ (* (+ a b) (- a b)) a)))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(fabs (/ (* (+ a b) (- a b)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (/ (fabs (/ (* (+ a b) (- a b)) a)) a))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
(sqrt (fabs (/ (* (+ a b) (- a b)) a)))
a
(* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* a (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(/ (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
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
1
(+ 1 (/ (pow b 2) (pow a 2)))
(+ 1 (/ (pow b 2) (pow a 2)))
(+ 1 (/ (pow b 2) (pow a 2)))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
(/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(* (sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a)) (pow (sqrt -1) 2))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(/ a (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a)))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (/ (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))) a))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
(sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) a))))
a
(* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 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))
1
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)

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

rewrite208.0ms (3.2%)

Memory

6.9MiB live, 135.9MiB allocated

Rules

5 028×	`lower-/.f32`
5 014×	`lower-/.f64`
4 328×	`lower-fma.f32`
4 326×	`lower-fma.f64`
4 110×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	231
0	48	232
1	192	216
2	1334	216
0	8685	216

Stop Event

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

Counts

14 → 395

Calls

Call 1

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

Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)) (/.f64 (pow.f64 a #s(literal -1 binary64)) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal -1 binary64)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 (/.f64 b a) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) a) (/.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 b) a) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (neg.f64 b) a) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (neg.f64 b) a) b) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 b a) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 b a) b) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 b) a) b) a) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) b) (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal 1 binary64))
(fma.f64 b (pow.f64 (*.f64 (/.f64 a b) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 b (pow.f64 (*.f64 a (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 8 binary64))) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 8 binary64))) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)))) (pow.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)))) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (*.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)))))
(fabs.f64 (-.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fabs.f64 (/.f64 (neg.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
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(exp.f64 (.f64 (log.f64 (/.f64 a (fabs.f64 #s(approx ( (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fabs.f64 #s(approx ( (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 #s(approx ( (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fabs.f64 #s(approx ( (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))
(exp.f64 (.f64 (log.f64 (fabs.f64 #s(approx ( (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a)))) #s(literal 1/2 binary64)))
#s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))
(.f64 (/.f64 (.f64 (neg.f64 b) b) #s(literal -1 binary64)) (/.f64 (pow.f64 a #s(literal -1 binary64)) a))
(*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 (/.f64 b a) a))
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) a) (/.f64 b (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 b) a) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (neg.f64 b) a) (pow.f64 b #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) a) (.f64 (/.f64 (neg.f64 b) a) b))
(*.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))))
(.f64 (pow.f64 a #s(literal -2 binary64)) (.f64 b b))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 b a) (pow.f64 b #s(literal -1 binary64))))
(.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (/.f64 b a) b))
(.f64 (.f64 b b) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 b b) (pow.f64 a #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 b) a) b) a))
(.f64 (.f64 (/.f64 (neg.f64 b) a) b) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 b a) b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 b a) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(.f64 b (pow.f64 (.f64 (/.f64 a b) a) #s(literal -1 binary64)))
(.f64 b (pow.f64 (.f64 a (/.f64 a b)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(pow.f64 (/.f64 a b) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 a) b) #s(literal -2 binary64))
(pow.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 b) a) b))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (.f64 (.f64 b b) #s(literal 1 binary64))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 b))) (neg.f64 (.f64 (/.f64 a b) (neg.f64 a))))
(/.f64 (neg.f64 (.f64 (neg.f64 b) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 a) (/.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 b) a) b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (.f64 b #s(literal 1 binary64))) (neg.f64 (.f64 a (/.f64 a b))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 b) a) b)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 b) a) b)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 (neg.f64 b) b)) (neg.f64 (.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (.f64 (neg.f64 b) b)) (neg.f64 (.f64 a (neg.f64 a))))
(/.f64 (.f64 (.f64 b b) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (.f64 b #s(literal 1 binary64)) (.f64 a (/.f64 a b)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 b)) (.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64)) a)
(/.f64 (.f64 (neg.f64 b) b) (neg.f64 (.f64 a a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b) b) (.f64 a (neg.f64 a)))
(/.f64 (.f64 b b) (.f64 a a))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 a) b))
(/.f64 (neg.f64 b) (neg.f64 (*.f64 (/.f64 a b) a)))
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 b (*.f64 (/.f64 a b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 b) a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) (*.f64 (/.f64 b a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) (/.f64 a b)) (.f64 (neg.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 a b)) (.f64 b #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a b) (neg.f64 a)) (.f64 #s(literal 1 binary64) (neg.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (neg.f64 a)) (.f64 (neg.f64 b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a b) a) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) a) b) a))
(neg.f64 (/.f64 (*.f64 (/.f64 b a) b) (neg.f64 a)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 a b)) (/.f64 (/.f64 (neg.f64 b) a) (/.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 a b) a)) (/.f64 (neg.f64 b) (.f64 (/.f64 a b) a)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 (/.f64 b a) b) (neg.f64 a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b a))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 b) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b (pow.f64 b #s(literal -1 binary64))))
(.f64 (.f64 b b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) b))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (/.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) b)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))
(/.f64 (*.f64 b b) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b b))))
(/.f64 (neg.f64 b) (/.f64 (neg.f64 a) b))
(/.f64 b (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) (*.f64 b #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 (neg.f64 b) (/.f64 a b)))

eval117.0ms (1.8%)

Memory: -2.7MiB live, 117.6MiB allocated
Compiler: Compiled 12 722 to 1 558 computations (87.8% saved)

prune56.0ms (0.9%)

Memory

1.9MiB live, 79.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	779	1	780
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	781	6	787

Accuracy

100.0%

Counts

787 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.3%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b)))) a)
✓	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fabs.f64 #s(approx (* (+ a b) (/ (- a b) a)) (fma.f64 (/.f64 (neg.f64 b) a) b a))))))
	99.2%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (pow (/ b a) 4)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))))
✓	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	75.4%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 276 to 143 computations (48.2% saved)

regimes43.0ms (0.7%)

Memory

0.5MiB live, 44.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))

Calls

7 calls:

15.0ms	(*.f64 a a)
5.0ms	a
5.0ms	b
4.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
4.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes32.0ms (0.5%)

Memory

0.5MiB live, 39.5MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	a
5.0ms	b
5.0ms	(*.f64 b b)
4.0ms	(*.f64 a a)
4.0ms	(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 44 to 31 computations (29.5% saved)

regimes19.0ms (0.3%)

Memory

-22.2MiB live, 16.9MiB allocated

Accuracy

Total -60.5b remaining (-4674%)

Threshold costs -60.5b (-4674%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(*.f64 a a)
2.0ms	b
2.0ms	a
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
98.0%	1	`a`
98.0%	1	`b`
98.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.0%	1	`(*.f64 a a)`
98.0%	1	`(*.f64 b b)`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify25.0ms (0.4%)

Memory

-11.0MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`-commutative-binary64-.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	36	55
2	41	55
3	45	55
4	49	55
5	54	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))

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

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

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

soundness386.0ms (5.9%)

Memory

26.9MiB live, 183.4MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
3 746×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	990
1	55	876
2	165	876
3	709	876
4	3801	876
0	8016	828
0	8	46
0	14	46
1	58	40
2	431	34
3	4344	34
0	8225	34

Stop Event

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

Compiler

Compiled 58 to 43 computations (25.9% saved)

preprocess71.0ms (1.1%)

Memory

-14.6MiB live, 68.7MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 226 to 164 computations (27.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.2%)

sample1.5s (23.2%)

explain121.0ms (1.9%)

preprocess231.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify156.0ms (2.4%)

localize27.0ms (0.4%)

series8.0ms (0.1%)

simplify207.0ms (3.2%)

rewrite149.0ms (2.3%)

eval118.0ms (1.8%)

prune69.0ms (1.1%)

simplify198.0ms (3%)

localize82.0ms (1.3%)

series46.0ms (0.7%)

simplify210.0ms (3.2%)

rewrite239.0ms (3.7%)

eval308.0ms (4.7%)

prune195.0ms (3%)

simplify209.0ms (3.2%)

localize140.0ms (2.1%)

series56.0ms (0.9%)

simplify211.0ms (3.2%)

rewrite185.0ms (2.9%)

eval226.0ms (3.5%)

prune155.0ms (2.4%)

simplify211.0ms (3.2%)

localize77.0ms (1.2%)

series42.0ms (0.7%)

simplify148.0ms (2.3%)

rewrite208.0ms (3.2%)

eval117.0ms (1.8%)

prune56.0ms (0.9%)

regimes43.0ms (0.7%)

regimes32.0ms (0.5%)

regimes19.0ms (0.3%)

simplify25.0ms (0.4%)

soundness386.0ms (5.9%)

preprocess71.0ms (1.1%)

end0.0ms (0%)

Profiling